Both will do the job, and do it Well... the .22-250 will be Much more "Fur Friendly" with most rounds. If it's a dedicated Yote gun, and you save hides, it would be the better one.
The .243 Drops them like a ton of bricks
But is not always Fur Friendly, it can double as a Light Deer gun...
Generally the .22-250 don't last as long, there hard on the throats, so if you shoot alot, that may be a concern.
Not a wrong answer here, Both are on the upper end of a Yote gun, and both are very proven.