I have a custom .22 roller, but definitely not a down-sized "baby" action.
IMHO, empty cartridge removal from the action, since they only have an extractor, can be problematic for a youngster.
I would respectfully advise the consideration of a T/C HotShot .22 single shot (under $200) for a youngster, instead.
They're even available in different colors/finishes/camo
http://www.tcarms.com/firearms/youth_hot_shot.php
.