I one time experimented with Bidou sonic, and found some interesting results.
Sonic's initial dash is very short, as lightly taping second stick only gave me a short dash. The at ledge dash attack is useful for edge guarding, but not if they grab the ledge, it's best if they land on it.
Another thing I found, was that you can alter sonics dash from the start, and every time I do this gave me a really slow dashing sonic(around slow walk speed), that slowly accelerates to normal speed. I'm not sure if that has any use(maybe dash attack), but I did confuse me, and could work as a MindGame.
Other than that, you do lose the abitlity to use a special move(at least with my controller setup) so you can't use the spin dash combo starter, as well as recover. So if you wish to use your basic tools, don't use bidou.