I like the idea of Incineroar having professional moves as well as his standard moves, maybe a lariat for a quick jab, down throw could be a sit-out Powerbomb. Maybe forward smash could be a spear.
Just some ideas.
Also throat thrust is a wrestling move used by big wrestlers to emphasize size and power, Undertaker and Kane used it and today Roman Reigns, and Bray Wyatt among others have used it. I would assume throat chop, and flame charge, maybe darkest lariat of course. Would be among his moves as well. So yes he'd have the moves you would expect but also wrestling stuff just a bit in there.