I think the burst should definitely not get changed, quite specifically because he's bigger than everyone. One of the "things" about tager is he's big, he's supposed to have trouble in situations where other characters don't due to his size. that's one of the things about tager. I think that this problem you are describing regarding bursts should be left in because it's a property of tager's being fat. it's the cause of one of tager's trademark weaknesses and thus it makes sense that it should happen. tager being big isn't just a problem for having character specific combos or instant overheads, it's a problem EVERYWHERE and it should stay that way imo.
If you were going to change something as universal as bursts then maybe a system where burst speed is related to weight could work. So heavier characters burst faster and recover from burst faster etc etc i dunno, i'm not good enough at the game to even begin thinking about making balance suggestions.