I had screen doors on the outside of sliding glass doors but screens were fitted on the inside of casement windows since those opened out.
Should border of screen door match sliding door.
Both worked like a dream and i never gave it any thought until i read your post.
The black and red add nice a contrast to each other.
Since your steps appear to be red the red door goes with that.
While some patio doors do come with sliding screens you can find add on options for an existing.
There are lots of magnetic patio screen door saver options to choose from which make it easy to match the theme of your home.
Whichever custom options you choose simonton windows and doors make a great addition to any room.
I have to agree with mona that at least in florida bugs coming inside would be a problem.
Enjoy the gentle ease of an additional sliding screen door to filter in fresh air and keep pesky insects out.
Magnet is the most reliable material to stay on your door as most static clings and vinyl materials will not hold to the screen door material.
A black door with a black screen door matching the trim works well too.
These creative homeowners found a solution by using a sliding screen door that tucks into a pocket behind the refrigerator when open.
Either way would be fine.
Finally there are slider screen doors that install on the exterior track of a sliding patio door.
The barn style hardware and cheery red paint job up the charm.
See more of this home.
I think it can go either way.
They are easy to install and remove watch this video to learn more.