The .22-250 is not as good a deer caliber as the .223 Remington, provided the .223 has a 1:12 or preferably a 1:9 twist to handle heavier bullets.
My 1:12 twist Tikka .223 Rem will shoot 60 grain Nosler Partitions well (discovered today) and that's a good deer bullet. Most .22-250s around have a 1:14 twist which won't stabilize 60 grain bullets especially well. If someone made one that had a 1:9 twist, it would be a pretty good deer round for open areas if 70+ grain loads were available.
The next step up is a .243 and we've had three 10-12 year old grandchildren who've shot it very well.
People are like rifles. Some are tried and true, having great eyes, personality, and fun to be with. Others never seem to hit the mark with you. Still others go off half-cocked. Still, it's nice to know most of them.