Well, but to a great extent it seems the Reds DO ride around hunting male channelers like that. Possibly that's why they're the most numerous; more than anyone except perhaps the Grays travel is in their job description, and they have to cover a lot of ground with a finite number of Aes Sedai. Many men will end up channeling whether they want to or not, and unless it kills them very quickly it will ultimately become dangerously noticeable to everyone around them. Then, of course, there will be many cases where a man has strange experiences but ISN'T a channeler, and that's probably more common, but until someone checks there's no way to know. Sometimes there STILL isn't; remember, the Reds wanted to gentle Elyas, and it's VERY unlikely he can channel (if he can, he's either a Darkfriend or not a sparker. ) Given all that and the sheer scale of the Breaking, the Reds being the largest Ajah makes sense to me, especially since the frequency of male channelers has been increasing as Tarmon Gaidon nears.

Captain-General, no less, but there's a reason for that: Unless they're former Aes Sedai a damane can channel to kill anyone or anything she wants as brutally as she likes. From the time they adam goes around their necks their primary training is for battle, and without the Three Oaths they have much longer than Aes Sedai do to get good at it. Adelorna was fighting with one weave tied behind her back, so of course she got smashed. She did better than most; others fought, too, but even the Greens were quickly killed and collared. We know from Dumais Wells that they weren't holding back because they weren't facing Shadowspawn (most of them probably THOUGHT it was Shadowspawn anyway. ) Aes Sedai don't have to be facing Shadowspawan to use the One Power as a weapon, they just have to feel a mortal threat to them, their Warder or another sister. As prohibitions go, that's a pretty weak one.

As for the Borderlands, remember that Malkier was "murdered. " You make a good point that it's inexcusable the whole thing was over before the Tower even knew, but even assuming they had some Greens in Malkier in a position to know what was happening, does it make a difference? Unless the pigeon they send to Tar Valon comes back with 100 sisters strapped to its back, does it matter? Probably not. There are some Greens (and other Ajahs) in the Borderlands; don't ask me for a name, but I believe there were greens with King Easar when our heroes went to Fal Dara. A disproportionate number of Greens seem to be FROM the Borderlands, which stands to reason, so by the logic you're using, why did they ever leave?

All of that said, you're right; the proper place for most of them is guarding the Blight. Borderlanders know that, and as many Borderlanders as the Greens have, they should, too. That doesn't invalidate the Green Ajahs vital responsibilities--it just means they're falling woefully short of meeting them. Had there been a dozen Greens in each of the Borderlands when Malkier fell they wouldn't have had to wait for help from Tar Valon, and perhaps it wouldn't have fallen.

I look at the Yellows like the NIH or the CDC. They aren't pediatricians delivering thousands of babies; there are plenty of non-channelers perfectly capable of doing things like that. The situation with Mat and his dagger was SLIGHTLY different; even in Tar Valon there was a lot of consultation and examination before they could be certain HOW to heal him. The Yellows are there, IMHO, to prevent or stop things like AIDS or the 1918 flu pandemic, not bandage skinned knees. They aren't out in every hamlet (though some of them are) because there are already Wisdoms out there who can't channel, but can maintain the general health of their community. The Yellows still learn how to heal all the things a Wisdom does, but their purpose is things no one but they can heal. That purpose is better served by concentrating the collective knowledge and experience of the Ajah in a place where they have access to the most research and history on the same subject, and that's Tar Valon.

To a great extent I think you're right in that final assessment, though it's most evident, IMHO, in the Greens and Reds (although the Blues certainly have their moments, but that Ajah was almost designed for that sort of thing. ) It's not that the stated purpose of the Ajah is wrong though, it's that it's members are neglecting their duties. I have a government like that.