Good job on the save...
FWIW, I have actually paddled over to a boat that had a BSB floundering, while the kooks took their time, and I became the one to cut the line and get the big boy oriented to head back down where he belonged.
Much easier for us yakkers to safely release them.
As far as puncturing the bladder, I have read that not only do you have to be extremely careful and make sure you get the bladder only, either way infection could set in regardless of what you puncture.