Bowser is not particularly known for being very agile, so a platformer would in some way have to do something radically different to Bowser and his abilities in order to make platforming gameplay feasible. If you just make him jump and run just like that, he loses the weight he is known for and will feel weird, but if you make him slow and weighty he will feel bad and cumbersome in a platformer.
The best I can imagine would perhaps be a platformer where he can switch between various gadgets on the fly to enable jumping high, running, attacking and so on, but that also feels like it breaks up gameplay flow more than anything.
I think Bowser games would much rather have to find another genre. A Bowser-themed 4X strategy game would be funny as heck. Like Civ, but with Bullet Bills, Goombas, Koopas...