I'd say that one of the problems with B&R's camp is that they didn't take it far enough....
It was like they were trying to mix some of the seriousness of the Burton movies along with the camp of the 1960s show and ended up doing neither right. At least the 1960s show was good at what it did.
In fact, I agree with you. Those are both problems with it -- on the one hand, it was an inconsistent blend of seriousness and camp, and on the other hand, the camp elements were way overdone. So it was both too much and too little.