Sorry...I don't have too much additional info - didn't take a video or anything. I was basing my assumptions on speed, Lando's leader abilities, and Han's unique. I think they also had Wiggs and Palp, and they killed my QGJ before I could take a move. I think either the "W" or the "iggs" went first, but can't remember.
I was surprised because I'd never had this problem before. Normally, as long as my Palp and Anakin are faster than their STH (including any speed bonuses he may get), I do fine.
I've also noticed that when I put buff immunity on STH, and he uses his taunt, he will still grant TM to his teammates when he takes damage, even though the taunt isn't active. I can usually avoid hitting him, unless he shoots my 5555s and draws a counter. Maybe this is just the effect of him removing TM from my guys.