Yes, I have shot out a 22 250. I also shoot BR, and yes, absolutely barrels get shot out. If anyone would like my current 22 250 barrel, I'd be glad to sell it to them very cheap. It has about 2450 down the tube, and the throat looks like it it made of marble under a scope (37.5 gr H380, and a few Varget loads). Yes, I also know how to clean a barrel properly. Like Jeepman says, 2500 to 3500 is the useful life of a barrel chambered in this cartridge; BUT, IT IS A SUPER CARTRIDGE!!!!
I'm done commenting, because like I said, it is a matter of tradeoffs, and everyone has great ideas. If you like hot cartridges, a 22 250 ultra, a 22 250, or anything else like it are fabuluos. The key is, are you having fun, and if so, knock yourself out.