.223 all the way it's all about logic.
I have had .223s for over 30 years shot 40 grain to 75 grain have an AR 15 as well. Just sold my last .308 as I shoot paper and varmints and the .223 just covers it all.
I now have only 1 common centerfire round, I can get it anywhere I mean anywhere unlike 22-250. I can shoot cheap crap for plinking or move up to 75 grain Hornadys. So yeah I get the 22-50 gives you a marginal performance increase but we are talking generally 600 meters and down and up to Yote size game so factor in availaibility, gun choices, twist choice, ammo choice, and it is clear why .223 continues to climb in popularity I know I made the right choice based on this, love my new Savage Hog Hunter in .223!! Best 480.00 I ever spent.
Randy