Whilst I agree that the White Raccoon Suit is intended for very unskilled players, that isn't to say that skilled players can't enjoy it also.
When I want to set a serious record, have proper play, I play as normal.
If I want to try something different, like playing with a handicap that prevents you from achieving high scores in Coin Rush, I might try White Raccoon Mario. Getting a high score as White Raccoon Mario is much, much harder.
For the DLC packs White Raccoon Mario is also good for investigating the stages, seeing what is hidden in there when you can fly around at a whim.
Clean Cut high score: 65 cuts? http://www.youtube.com/watch?v=T6_Ty50Kais