Yes, but it comes from using the TP a lot. And really, we don't know of many negative effects of the Saa themselves, do we? We only know that using the TP is very dangerous and can very quickly cause madness.

I mean sa'angreal are more powerful angreal, essentially. I look as angreal as meaning something along the lines of magnifier and sa'angreal as powerful magnifier. So perhaps Saa has somethign to do with the concept of power as in how much power one has gained, status with using the TP or something along those lines.

My idea isn't concrete, really. It's just an idea and the idea is quite broad.