Checks MarioWiki
Cross references with SSSBWiki
does have several moves from World actually it turns out. Jab, Up Smash (this one is the jab finisher in World), his Chomp - as well as Back throw being a spin throw and Down throw being a ground pound (possibly Up-B too). Apparently several moves are borrowed from the Land games: possibly the "Raise the Roof" Up Tilt, N-Air, Dash Attack and grab.
He just doesn't shout "HAVE A ROTTEN DAY!" on release, and his general mannerisms don't scream Land / World, which is the issue many casual players have with his moveset. Waft especially since it's not been a thing in the Land series IIRC.