I've got a 6mm-250. It feeds fine from the AICS mags so I think the 22-250 would also. The biggest pain is getting them into the magazine, short and kinda stubby with a lot of taper. You get the first one in and it set so far back that it's tough to push it down with the next one. A lot more work than loading a .308 based case. I end up stuffing the base down with one finger, really deep, to get the nose to go down with the base of the next cartridge. Then the feed lips bite. It's a pain and NOT something you want to do on the clock or under stress.
But you need one.