.22-250 has more in the top end.
My Remington has a 1-14 twist. The heaviest bullet it will stabilize is the 70 grain Speer flat base round nose. At over 3,000 fps, the 70 grain bullet will settle a coyote.
The advantage of the .223 is economy. However, it has less range, all things being equal.
Accuracy is dependent on individual rifles and reloading ability. I've shot groups in the .3++ range with my .22-250. No doubt it will do better with more work.
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