I might do this too, at least for one turnbuckle door. I might use velcro screen however I need to be able to remove it because I do store some items in the space between the camper and the truck bed.
We all have to be able to open the turnbuckle doors and any screens to secure and check the turnbuckles. Mine easily are removed from the inside by simply pushing them up 3/8 of an inch. It’s just as easy to put them back in place.