You need to watch those movies again, old chum. The battle in the mall at the beginning of TMNTII is nothing like the fight in April's apartment. For a start, the latter contains genuine drama and threat, violence, and...well, it's a proper, sustained battle with elements of slapstick. But not very many, as Raphael is laying there in a coma.
The fight at the start of Secret of the Ooze is almost pure slapstick, with the odd proper martial arts move in there. There is no threat, there is no suggestion that the Turtles will take a hit, let alone get hurt...it's essentially a message to parents, "Hey, we know you thought the original was too violent, so relax, this one will just be silly."