Equivalent in raw strength. The quote is pretty plain that they aren't effectively equal, though.

No one is denying they exist. I'm questioning how effective they are, not their existence. Here's another RJ quote:

"Men" can be much stronger. But "women" are much more deft. Its not a relationship that's true just at the uppermost level. It permeates the entirety of the scale.

Not true. We see him weave light, freeze small amounts of water, heat tea... none of these use Gateways.

This is just not true.

I know Morgase's training was ignored. But we have no idea exactly how weak Androl was. He certainly does more, in the non-Gateway department, than she does. We even see him use motion sensing wards, and successfully bond a woman. Meybe these don't require much strength, but making a light certainly is an indicator of strength: Egwene with Forkroot could only make translucent fire. Sorilea's was translucent too. Androl's was not. We also see him burn away ropes, We see him throw fire at Taim, who actually dispels it, which he would have no reason to do if it wasn't at least in the range of Sorilea's which was "small and flickering weakly", per Perrin.

You are seriously arguing that a man holding the exact same amount of the OP as a woman won't be less effective than her?

You're right that he could be weaker than her and much stronger in Air. But we've seen Aviendha dispel an entire rainstorm in Caemlyn, and we know Cloud Dancing requires a reasonable amount of strength in Air. He may be stronger in Air than her, kind of like where Egwene is with Earth, but since we have no idea how strong he is in Air, the best estimate is to place him at a level where he would be effectively equal to Aviendha, which is level 5 for a man, other things being equal.

I'm sorry if this came across as rude, but its just something I've seen before. We spent a long time arguing against the assumption that even the strongest Aes Sedai were much weaker than most Asha'man we saw. You yourself may have no wish to have any such thing be true, so accept my apologies for implying such a thing.

I fail to see that, though. I'm not saying your argument is impossible, and in fact, by my view, he already could hold, in raw strength, as much or more than Merise. I just don't see any necessity for his effective strength to be greater than hers, though, for Merise to be worried. She may have thought that her control over him was due to her greater effectiveness, and seeing him improve that, while still being overall weaker than how effective she is would make her worried, no matter whether he was super close to her level or not. Since he was young, she had no idea how far this progression would reach. That seems immensely obvious in her words:

Merise was being uncharacteristically blunt and open. Would she be reticent and hold back if she thought he was already stronger than her?

Plus, the way she says she doubted shows that the jump wasn't very far beyond where he was before.

Actually, no. Here's what Dom said Brandon told him:

We only see the upper end of the male system, and obviously the levels below, like level 19 and the associated limits for channeling cannot apply to men, since they're in a completely separate system.

How is it arbitrary. I didn't invent the six level difference between the strongest man and strongest woman. RJ did. I never said that the weakest Aes Sedai would be more effective than a man who can channel the same exact amount of the OP as a man on her level, RJ did. I never decided that at any given level of strength, a woman will live longer than a man of the same strength. These are all in the book, and I'm inferring the simplest extension of it. The levels 1 for a woman and ++1 are functionally equivalent. The simplest extension is that level ++2 is functionally equivalent to level 2 and so on. If you want to violate Occam's Razor and come up with some more convoluted relationship below levels 1 and ++1, the burden of evidence is on you. Can you show that as women get weaker, their dexterity advantage reduces?

Intuitively incorrect implies some glaring piece of evidence against what I'm saying. What is that evidence?

No, I'm saying that the dexterity advantage is a constant across the strength scale. I'm not saying at all that the stronger you are the more the dexterity advantage, which is what a 1:1 correlation would imply.

We do. RJ's quote would otherwise have mentioned some kind of trailing dexterity advantage. Instead, he says: Although, considering the effectiveness question, they should probably set it at the same 62.5%

That right there says there is no difference lower down. Otherwise he would have to qualify that statement. He would have to say that some women have more deftness than some men, but the reverse can be true as well. But he doesn't. Every time he mentions the deftness/dexterity/effectiveness advantage, he does so as a signular thing, not as some kind of scale, or something that changes with strength. Same with mentions of this in the Companion.

That is because of multiple factors. We know the difference between any two levels isn't much. At multiple times in the companion we are told some at level X is almost as strong as someone at level X+1. For another, you seem to think being of the same effective strength is all there is to it. But skill, knowledge etc also come into play. We've seen Graendal not even bother to attack Sammael despite being angry with him because he already held the source and would sense if she tried. She has, at another time, threatened him to his face, and Moridin's PoV says either one could die in such a confrontation. Does this prove that Graendal at was functionally equal to Sammael at ++2? Or just that those two levels aren't far enough away to make any firm conclusions? Or that Graendal is more skilled, and thus punches above her weight? You say it is option 1, but we know both options 2 and 3 have directly got textual support: We are told the six levels above Lanfear aren't all that significant: “While there were six additional levels for men above those for women, the disparity was not as great as it seemed, measuring the bulk quantity of the One Power that a person could handle.”

If a six level disparity isn't all that great, a one level one would be even less so.

And we're also told:

Both these can show why Graendal may be as effective as Demandred, or Sammael, or even Rand. We don't know that she is, but if she is, there's plenty of pre-explained reasons for it than some imagined reduction in dexterity with strength among women which somehow manages to make a woman who should best case be of effective strength equal to a man of ++3 even stronger.

Firstly, wouldn't this make Graendal only weaker than Demandred. By your own (flawed) logic above, this should disprove a trailing scale for dexterity, no?

But even ignoring that, the presence of any such decrease in dexterity would mean RJ simply used weird language. He kept calling it a dexterity advantage for women, never once indicating the advantage had varying benefits for women of different strengths. Before his 62.5% quote, he had only mentioned this advantage with respect to the strongest man and woman. However, in the 62.5% quote he says:
Regarding the levels of male strength, while the weakest man and the weakest woman would be roughly equivalent, you might say that there are several levels of male strength on top of the female levels. Remember to integrate this with what I’ve said elsewhere about effectiveness, though.

In short, if you think dexterity decreases with strength among women, please give evidence for it. And no, the above quote isn't proof, as you insisted elsewhere. When he says the weakest man and weakest woman are oughly equivalent, he's clearly talking about raw strength, because he contrasts that with the strongest man and strongest woman, who in fact aren't equivalent in how much raw strength they draw.

Per Terez, Morgase is level 66, IIRC. Also, who said Androl was at this level? Was there something in the text I missed. He's certainly doing a lot more than Morgase can. He at the very least is giving Sorilea a run for money.

Sorry, no. You're conflating two quotes. The top levels have different raw strengths but the same effective strength. The bottom levels have the same raw strength but we have no clue what their relative effectiveness is. What we do know is that bottom level women live to 150, but bottom level men live to 135, indicating some difference, even though they're drawing the same amount of OP per RJ's statement that the bottom is the same for men and women in raw strength terms.

I'm making the simplest extrapolation of all this data to say there is a constant dexterity advantage. This is supported by all of RJ's and Companion quotes which call it a singular thing rather than a scale. That this advantage is constant is supported by RJ's statement that the same exact proportion of the male and female populations will be effectively strong enough to be Aes Sedai by WT standards. Further, there's this quote from the Companion:

"A" man and "a" woman, here, not "strongest". Once again, this says that the strength advantage for men, across to board, is matched by the dexterity advantage for women. By your metric, the weaker the woman, the less able she is to match a man above her level, which this statement flagrantly contradicts.

Then there's this:

Further, we are told:

And in case there's any doubt that this advantage is lower in weaker women:

So, to sum:

1)There is a constant 10% longevity advantage for women.
2) There is a hard number for men strong enough to be Aes Sedai in raw strength terms but not in terms of effective strength.
3) In multiple mentions of the dexterity advantage for women, not once is a dexterity scale mentioned.

In the entirety of this system, the theme is a mild strength advantage for men, made up for with a constant advantage for women to match them to the men. I see absolutely no evidence anywhere at all that women of different strengths get different dexterity advantage.