Yeh L cancelling is good, and that helps the movement. But playing fox on brawl (once you have learnt the character through completely) can do almost everything you can do in melee except wavedash and shine follow-ups. However now that there is more buffering and less traction, you can cancel all aerials in to boosted smashes with the right timing. You no longer have to crouch cancel to change movement or smash. Laser canceling is still just as viable. Illusion can be platform cancelled and edge cancelled. You can still shine into a lot of things, including out of aerials and buffer out of shield moves.
Not trying to say one is better than the other. I just prefer the movement and the interchange between characters on brawl when compared to melee. Now too there is a lot more character based techniques when compared to melee as well. Which means to be in the top precentile of the game, you have to know how most of them can effect your character in situations.