A muffed fumble?
It' s a fumble or a muff.
If he tried to pick it up and missed, it is just a touch. - bean bag, the ball could come back to that spot.
Muff has no part of the process.
To be a muff he had to be awaiting kick and it went through his hands, arms, down his leg to the ground,
Not sure where you heard any of that, but it is simply wrong. A muff is an unsuccessful attempt to catch or recover a loose ball, and the ball is touched in the process. Could be a pass (forward or backward), a fumble, or a kick. When the QB fails to secure the ball (but touches it) when it is snapped hand-to-hand to him, that is a muffed backward pass. When a player fails to secure (but touches) the ball while attempting to pick up a fumble, that is a muffed fumble recovery attempt. When a receiver fails to secure (but touches) a pass to him (forward or backward), that is a muffed pass.
Correct - Team A may not advance the ball after catching or recovering a legally kicked ball on a free kick, or that is beyond the NZ on a scrimmage kick. Those rules apply regardless if the kicked ball has been touched or muffed by Team B (or Team A, for that matter). The status of a live, legally kicked ball (untouched, touched, or muffed) is a kick, until the ball comes into player possession (either team). After that, the status of the ball is:
- in player possession, or
- loose from a pass (legal backward, illegal forward), or
- loose from a fumble, or
- loose from a kick (illegal)
Team B may always advance any live ball.