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.

I'd be inclined to agree with this point if Egwene had simply burned out or died but she drew in a massive amount more power than was conceivable. That being said, we can lay that down, in part, to BSand's (and our) limited understanding of how these objects really work. I really hated that plot device, especially because the Aes Sedai are so damn cautious about everything involving the Power, yet somehow Vora's sa'angreal manages to be more powerful than Callandor and flawed yet is still sitting around in the WT