I would agree: They probably thought it wasn't becoming of a Female to throw punches like Batman and Robin did.
Also, if you notice, she never took a hit either. During the fights, Batman and Robin would receive some punches from the bad guys from time to time. Never Batgirl. I guess the male criminals were all gentlemen as well and would refuse to hit a girl. Which gives Batgirl a huge advantage, of course.
The female villains and accomplices would never fight Batgirl either. In the first two seasons, we were used to this because since Batman and Robin would never fight females, they would always sit it out on the side. Now that Batgirl was there, you would think that they could join in now, but apparently that was not the case.
I think all of these limits were a bit much. But hey, it was a different era.
It was definitely the era! As small as she was, what kind of punch could it have been anyway? She wasn't Wonder Woman for Gawd-sake!
- - http://scifiblogs3.blogspot.com/2012/12/batman-forever.html - -
- http://www.childrenofrassilon.com/batman-forever.html - Batman Homage
And I thought that Batgirl was brought in to fight the women---but yes looking now she does not do this. Interesting observation. I guess it was a censor issiue.
Because in 1992's Batman returns he certainly has no problem fighting against Catwoman. This is the 'modern Batman. She is hit by men and hits several men in that film.