I don't doubt they will. I don't hold with the idea bigger, faster = better. Sometimes is is, but nowhere near always. I've taken a few of my buddies out after squirrels (teamwork is fun) they can't hit a damn thing w/ my .410... They learned with 20 and 12 ga. After one of them injured two that escaped I made him give it back, handed him the .22 ...
I was told once that It's not sporting to hunt squirrels with a shotgun, that it makes it too easy... I told 'em to take my .410, see if they think that gettin' close enough to use it is easier than taking them w/ a .22.... the offer was declined...
I think learning to hunt small game with a .410 made me a better hunter than I might be if I'd learned on something bigger.