The purpose of my using the TSX/TTSX bullets is for a few reasons. 1) simply to test them in various calibers and see what happens. So far, flawless performance. 2) I wanted somthing tough to hit some shoulders to see if these bullets seem to "hit hard" and break down a deer or bear. So far, flawless performance here too. 3) I wanted to see if they really penetrated as far as advertised. So far, expectations exceeded as I've never recovered one.
All that said, I have never intended to use these tough bullets for LRH. My self imposed distance with Barnes is 400 yards and under. And that is with the intent to hit bone. The further out they are, the higher the risk of pencilling through if only lung is hit, IMO. I load my Barnes bullets hot...as hot as possible for shear energy and speed, with accuracy that is "acceptable" but not always impressive. So long as I'm grouping inside of 5-6" at 400 I'm happy.
Beyond 350/400 yards, I'm going for a softer bullet like a Btip, AB, Scirocco, Berger, or perhaps an Amax. With good reason, many will want the highest BC bullet possible. I do not disagree with that. But, I also know that all it takes is knowing what your bullet's trajectory is at the distances you wish to shoot.
If I can get a smoking load easily with a 180 Btip from a 300 RUM and I cannot get any Berger to shoot worth a crap, guess what I'm loading? I'll not hesitate to push a Btip from that rifle and take a deer at 800 yards with it.