Well...
What you're referring to is jump canceled shines (Inputs: jump>immediately shine).
As the name implies, you're canceling a jump you've inputted with a shine (it you hold the shine and look closely, it'll seem as if Fox has two reflectors around him. It's easy to notice if you compare it to a normal shine)
As for using it after a dash...
There are two phases to running. There's the initial foxtrot, and then the actual dash animation. (to see the initial foxtrot, just flick the control stick and Fox will do a short dash. If you hold it, he'll enter his dash animation.)
During the foxtrot (which is once again, the very beginning of a dash), Up+B and Down+B cannot be used (this is for all characters, not just Fox). That means that if you use the
normal method to shine,
it's impossible to do it during the foxtrot.
However, during foxtrots, you
can jump. And because you can jump, you can cancel it into a shine. So with
jump-canceled shines,
you can do them during the foxtrot.
As for the using shine during the actual dash animation (which comes after the foxtrot phase), either method could be used.
With the normal method, it just needs a bit of timing, but it's easy to master. If you don't shine immediately when you plan to stop running, you may enter the skidding animation for your run (whenever a character stops running normally, they enter a skid animation to stop themselves). During the skidding animation, you cannot shine
unless you do a jump canceled shine (since the skidding animation can be canceled with a jump).
With the jump canceled method, it's more trickier to use consistently, but it allows for more error I guess.
Sorry for the wall of confusing text >.>
In other words
- during the foxtrot (initial part of dash) only jump-canceled shines can be used. You can't compare speed here since the normal method doesn't even work
- during the actual dash animation (after foxtrot) either could be used. They are the same speed though.
I personally
always do jump-canceled shine. But I simply do it out of habit, rather than for it being beneficial (although in a few cases it is). Most foxes use the normal method now-a-days.