Not a sequel, just a homage. And Batman Forever was the same.

When Tim Burton wanted to make Batman movies, he made them in his own style, borrowing here and there from the comics, but generally just doing his own Tim Burton thing.

When Schumacher took over, his primary reference point for Batman was the '60s show, and his movies reflect that. There was restraint and balancing going on with Batman Forever, put when it was a box office hit, Schumacher took that as an invitation to go all in on the camp with BaR.