My covers were original, but never had screens before while I owned it. Some of the tabs were bent over, but still had room beneath them to slip the screen under. Others were bent over so far there was no room at all.
I had the body work painted and wanted to restore the covers to include the screens. After painting, where necessary, I used a dab of silicone to secure them. So far, several years, no problems. I'm not much of a fan of permanently securing anything, so you might consider doing something similar. Others might have better ideas though.