I'm still waiting on my talley rings to arrive. I have about 15 different factory loads for 308win, so it shouldn't be a problem finding at least 1 or 2 which will work for deer and elk.
That said, I've owned many different big game rifles over the last 55 years. The most accurate was a savage weather warrior in 30-06. It will easily shoot sub moa with factory 180gr rem corelokts, and several other 180gr factory loads. I gave that rifle to one of my SILs. While savage may not make the best looking rifle (opinions are like butt holes), those I have owned were more accurate "out of the box" with factory ammo than any others. I expect the t3x to equal my previous savages. We'll see.