That is a potential problem with any form of stalling if you have a "Stalling is banned" rule. If they are doing it excessively throughout the match as you described, it can just deemed "excessive stalling" and the player is DQ'd/punished.
Are you saying here that any character that can stall should be banned..? The BBR and almost a decade of smash history disagree with you here, because a "Stalling is banned" rule has been around forever instead of just banning the character. And it's always worked in the past.