a Channeler is, as you put it above, a living thinking being yet an angreal is an object. What Egwene did was far beyond simply burning herself out by drawing too much power. She shattered the limits of Vora's sa'angreal and destroyed hundreds of channelers as well as another massively powerful sa'angreal etc etc. What you are suggesting amounts to Egwene could have linked with others and been buffered from the negative effects, which in turn means Vora's sa'angreal, if used in a link, is basically a limitless supply of saidar equal to the CK simply because it has no buffer.
No, within a link you can only draw Vora's Wand to its strength limit, which seems to equal Sakarnen. The only way to exceed that is to not have a buffer, ie be a single channeler using it. At that point, you can overdraw, just like you could overdraw if there were no angreal in the picture.
As can any channeler! Lews Therin didn't simply burn out or die. First, he too drew in massive amounts of the OP, enough to erect a 10km high active volcano! And he wasn't even using an angreal!
See, what Egwene did was first draw in all that Vora's wand can safely allow. Lacking a buffer, she then exceeded this by a little to defeat Taim. Then, she saw that the Sharans were rallying, and the world was just about to receive Bore 2.0, so she drew in even more. I contend that even without Vora's Wand, she would have drawn in a pretty massive amount. Vora's Wand just made the amount that much more impressive (maybe in the CK range, given what she says).
I don't have a problem with either fact. Just with Egwene regularly using it while she was tired despite apparently knowing there is no buffer! That makes no sense. Why wouldn't she mention it? Why wouldn't she join in a circle to prevent accidental overdrawing in those other times?