I had two screen doors have their handles break in short succession, one from a hail storm, the other just from overuse (I found the bottom part of the handle was never screwed in, so every pull was putting twice as much strain on it than it should have)
At first I reused the old button out of laziness, as they changed how the mechanism mates with the button on the broken handle, but then I tried the new button on the door with the broken button and found it was the same mechanism so I could fix both handles with one handle kit!
Next I need to get the correct tool to reinstall the screen that caught an elbow and clean up some of the dirt that's accumulated on the inside and we'll really be in good shape!