I mostly ran Cudas, and with a couple of nylon 4-40 screws and nuts on top of the servo tape to mount the rear bumper, I tore up plenty of Cudas, and never once had a rear bumper come off.
This body won't be any different—mount it poorly and it will come off. Mount it properly, and you shouldn't have any issues.
There really is not too many other ways to manufacture a body like this with undercuts on bumpers without doing it in multiple pieces. If you don't, you tend to get tubby looking cars like the Pegasus or Parma bodies that don't use those methods.