Wall jump and momentum questions.

[Zoa]

I was recently comparing wall jumps between characters, and had a question come to mind. Do wall jumps factor in air speed and current momentum when going into the wall jump? Captain Falcon just tears through the air, while Lucario seems to stay the same. Also I've noticed in the SSE that whatever momentum you have after jumping from a moving platform is retained for all three jumps it seems. Is there some way to circumvent this? Lastly I can't do the AMSA jump on the SSE for some reason. Is there a wall jump timer preventing me from doing it or something else?