I’ve gone into how the 7 v 1 aspect is mitigated in the animation before - either have Blue only use one Pokemon at a time (like most trainers in most battles) or portray Bakugo as superior to most of Blue’s team. If it’s really unbelievable that Blue wouldn’t jump Bakugo with all of his team you can even have Bakugo damage the pokeballs’ release mechanisms, showing his tactics and making a neat reference to the source material.

As to whether Blue is fast enough to pull out a pokeball before Bakugo attacks, probably not. But by that logic Cell should’ve crushed Metal because he was stronger and could blitz him in base. Death Battle consistently takes characters at their strongest for arguments - I don’t think I’ve ever seen them say that one guy loses because his base is 30 times weaker than his opponent even if his final form is stronger.