You don’t have to take the screws out completely unless there’s no other way to get the door off the track. You can test this by lifting the door once the screw heads are poking out of their sockets. If the door lifts up from the track easily, don’t unscrew any further. Keep unscrewing if the door won’t lift.
Your screen door could fall out of the frame once the door stop is taken out. Be sure to have someone else watching it while you work until you’re ready to take the door out of the frame. They can catch the door just in case it falls. [7] X Research source