In WA State and SC it is moot ...
In Washington state, my home state, the minimum caliber for deer hunting is 24 caliber. As a result the .223 Rem, which is 22 caliber, would be illegal!
In South Carolina the minimum caliber for deer hunting is .243 caliber, at least according to my son who lives there, again, as a result the .223 Rem, which is 22 caliber, would be illegal!
I can't speak for game laws in all the other states, but I wouldn't be surprised to see similar restriction, some states on the eastern seaboard require rifled shotgun slugs only.
YMMV