From an engineering standpoint you will get the stiffest joint between barrel and receiver if you thread it This is due exclusively to the shoulder pulled up tight. You have the bending resistance of the full barrel and receiver diameter, as compared to just the diameter of the tenon with the press fit. An advantage of the press fit joint is probably the possibility of better concentricity and alignment. It's also cheaper and easier to make.
A recoil lug would make movement of receiver relative to the stock less likely as compared to just action screws. However, a well fitting and tight screw in sleeve or pillar would probably be as good as the recoil shoulder.
The advantage of any of these features is questionable in a rim fire. What really makes a difference between guns is the SIZE of the various parts, that is, the size of the receiver, barrel, action screws, and stock. The loads and forces generated in a rim fire are so low that there can't be much difference with which ever construction you go with. Proof of this is the best guns are built in each of the different manners.