Also 3) intrusion detection.
It's obvious to the owner and the whole world that an intrusion has occurred if the door is sawed open or the lock is cut off. It's nice to know your home has been broken into vs. some of your jewelry is gone and you don't know whether to blame your teenager, a relative, someone who did work on your house since you last checked, etc.
Photos of your sawed open door will probably help in your insurance claim too. Telling your assessor "the cops say they might have picked the lock" isn't something I'd want to rely on to get my claim approved.