^Yes, but my point was not to say that Joker could
beat Batman as a rule, since hardly anyone could -- just that he was a young, healthy, and reasonably strong individual who was capable of fighting in general and who has been known to employ physical violence on a regular basis. As
JD said, one of the things the modern Joker is most known for is beating Jason Todd to death. So he
is a physical type of villain, the kind who does indeed use his fists as well as guns, gimmicks, and strategems.
Heck, even Cesar Romero's Joker participated in the fight scenes, and Romero was 59 at the start of the series. Of course, stunt doubles did most of the fighting, but the Joker was not one of the villains who held back and let the henchmen do the biff-pow-zlopp stuff. In
his very first episode, there's a scene where he gets his hands around Batman's throat and strangles him, which was surprisingly vicious for that show.