Screen doors are an extra pain for door egress.
They all are lacking a solid push panel or ergonomic bar mechanism at belly height to protect the screen.
Other random thoughts:
-Sliding type? Some might be motion-activated and cadillac.
https://www.screenmobile.com/Our-Products/Motorized-Large-Format-Screens/Motorized-Porch-Screens/Clearview-Motion
-Plastic magnet curtains which will get hazy in two years?
-Auto switch anti-bug fan above?