I don't think the real Batman knows anything about this place. If he did he would slap an cease and desist order on them so fast that all those naked girls would still be naked after being evicted. No time to even put on a pair of sock.
I am sure that Batman will be fair with the owners if they insure that each girl comes out to dance wearing knee high boots and cape. Wearing the cowel will be optional. They can also dance in the costume of any female bat villain like Catwoman or Poison Ivy.
I think this compromise is reasonable.
My favorite HULK covers part 1
5 days ago