I haven't used the Barnes TSX in the 22-250 yet, but I did use the older 50gr XLC in a little CZ 527 in .221 Fireball. It was a few years ago, Fall in SE Texas, and I took the rifle to shoot varments with the 50gr Vmax and the Banres to try on a hog. If I had the opportunity for a really big hog, I was going to shoot him behind the ear. However, time was running short, and I ended up shooting about a 80# gilt around 70yds. I purposely shot it on an angle, behind th right shoulder, towards the left fron shoulder. Bang, flopped around about 15 seconds. 50 caliber hole all the way through. It impressed both me and the load owner. I knew from that a good 22-250 load with any TSX would work just fine. All the rest of my kills were with that .220 Swift and the Federal factory load with the 55gr Trophy Bonded Bearclaw. I have a cousin who uses a 22-250 every fall on deer, while her husband/kids use .270,etc. She fills all her tags, and does it all with Remington 55gr softnose bullets. Again, these deer are shot fairly close, off of a feeder or going to one. It works great for that. She is no "sniper" by any stretch, but loves to go with her family, and she shoots well, even though not interested in technicalities. ha.
Here in Utah, the sensitivity to wind was a big issue with the Trohpy Bonded 55gr, it's pretty stubby. My 22-250 Ackley Improved does much better, of course, with the longer, more streamlined Hornady 68 match hp. If I "know" I am going on a big money hunt, or invited to hunt where I am expected to take full advantage of the opportunites offered, I like anything from a .240 Weatherby to 7mm RUM, have even taken a 300 RUM before! It just depends. In the woods, I'd just as soon have a nice, scoped Marlin 336 to be honest ( why do we use that phrase "to be honest", of course I'm being honest, ha)