Wolf is highly different enough. But they do share some of the same moves(all 3 have had the same Reflector with slight differences, a very near identical Up B. Fire Wolf(Dub name)/Wolf Shoot(Japanese name) just doesn't have the fire part, and of course, the Landmasters. Wolf's Side B and Neutral B are fairly different overall. A completely different angle for his Side B and his B is very unique for a laser).
Anyway, that wasn't as much the case for the Plumber Trio(and yeah, I wish they had a better name. Was there ever a nickname for them?), as they were near identical except Luigi had a different Side B, and his natural unique moves from Mario/Dr. Mario period. Although I have heard some want Dr. Mario Forward Smash to become Luigi's, due to the Thunderhand ability from the Mario & Luigi games.
Anyway, if you can customize more than Special Moves, we could see some of that neat stuff~