I don't think ATS sucks live, that just depends on the band, whether they are having an on or off day (which usually depends mostly on how well Chester does). That goes double for practically all their albums.
One of my favorite performances done by the guys is KROQ 2010. They performed flawlessly, the best Catalyst, WFTE, and Iridescent.
https://www.youtube.com/watch?v=9P6mDo2_Rg8