any bullet manufacture will perform on deer.
Anybody tells you different is either A full of crap or B don't load right with certain type of bullets properly.
To expound on B.... guys load BT's too hot at close range, BT's aren't designed for high velocity close range work, flat bse bullets are.. but your TTSX will hold up to any range but might not expand below 1800 fps.
I used them in my .270 last year.. worked fine. 300 yards the deer, "went down so fast I was unaware that I had hit them" as O'Connor said...vanished as usual but they do that with Hornadys, speer, rem's win's, nosler's, and sierras too.