No, the "it's a movie" excuse doesn't wash. The other incidents she survived could plausibly be survived, like landing in a pit of soft sand or falling through several awnings to break a fall.
However you don't take four gun shots to the body at close range and run and climb about with athletic energy on the rooftops of Gotham shortly afterward.
I don't know why it doesn't wash.
It's not realistic. Because it's an unrealistic movie. I don't recall seeing her run and climb about in the end. I recall seeing her raise her head...she wasn't shot in the neck.