I ran a simple test in response to your claim. Marth back airing out of a short hop with no analog jump (y-jump + c-stick) or aerial drift moves him in the direction that he bairs. In other words, with no other factors to affect his x component of velocity when airborne, it must be the back air that is causing him have a displacement, no? Test it yourself. I'm quite surprised that you have told me this, though. I've heard the claim that it does affect his aerial speed numerous times.
I've done it myself and I'm seeing no movement. Further, I'm looking at character positions with Magus's Physics display code and seeing no change. Maybe we have different mental concepts of movement? What I'm talking about is that Marth's x-position on the ground does not change. You can't use bair to move Marth across the stage. If you bair, land, turn around, bair, land, turn around, and repeat, you will not change positions.
I've heard the claim that it does affect his aerial speed numerous times.
There are about 5 people in the world you can trust to give you accurate information about game mechanics. There are just too many myths floating around and too many people not willing to dive deep enough into that side of the game to actually develop a sound understanding.
could you fill me in on the other properties of Puff's multiple jumps? It seems that there is some sort of hurtbox alteration from falling through platforms or messing with her fall speed over time? Or maybe this a property within the multiple jumps? Here is an example,
https://youtu.be/HghTnO5VXts?t=53
Idk how to answer this question. There is just so much information. I don't know how to say it all. I don't know if all of can be said. How specific do you want me to be?
Falling through platforms doesn't mess with her fall speed. Any time any character does any move, jab, aerial, roll, shield, walk, etc. their hurtbox contorts. That is the move's animation. If their animations didn't change, every move would look the same. It would be a very silly game.
aren`t all aerial effecting your speed or something, if you conect them, cause of hitlag? i think its not effecting your speed rather stops you for a moment but for example l-canceling windiow is slightly diffrentan if you land a hit, so i would assume it does do a little bit of diffrence. lets say, you jump from the ground and do an aerial and and fall to thge ground again, has the value 100 . if you hit someone with that aerial it, should effect your value of 100 since it effects the l-cancel window.
im not going by fact, just theoraticly, maybe im totaly wrong ^^
Hitlag freezes your character in place for a number of frames, but it doesn't change your character's velocity. You can think of it as a time freeze. I suppose you could also think of it as the game setting your velocity to zero for that many frames, then returning you to your previous velocity afterwards, but that seems more confusing to me and is also not what happens in the game code.