I have both in 8” twist. They both are easy 300 yard cartridges with the right bullets (22-250 even more). The 22-250 does noticeably hit harder and shoots flatter. The 223 isn’t as loud and recoils a tad less but neither is a problem. If I could only have one it would be the 22-250 if deer and medium game were my intended targets.
I always think of you as a 223 guy. I'm surprised you would pick the 22-250. I love both cartridges. Shoot the 223 at 400 yards quite a bit, just for plinking steel and paper and yotes. What surprises me is how hard the little 69gr SMK smacks the target at 400 yards. It leaves a mark on the steel too, where some of my other bigger cartridges don't. I don't think I'd pick the 22-250 until shots get past 5-600 yards. Then I'd lean in that direction, but at 400 yards, the 223 is a contender that should not be overlooked or underestimated.