No... a bandit is gonna rip the screen and open the door. Seriously, who is that gonna keep out? I'll tell you who: Me! I'm on my way to visit them, check in on them to make sure they are doing alright, and I get to the locked screen door, and you know I'm not gonna rip the screen. It only keeps out the people who you want to come in the house.
The best part is that since they are both hard of hearing, I have rung the doorbell and heard the TV (Everybody Loves Raymond) on in the other room and heard this exchange.
Gpa: Did you hear something, Dolly?
Gma: You want a drink?
Gpa: No, do I need one?
Gma: How do I know?
Gma: Why isn't Ray answering the door?
Gpa: What?
Gma: The doorbell, why isn't anyone on this show answering it?
At this point I go around back to the sliding glass door on the room where they are sitting, and scare the crap out of them.