I have reused screw cap bottles for the last two years. I bottle a few out of each batch with them. I use them for first drinking or guifts. After I put the cap on I set them on their side for a couple of days. Almost none leaked. Those that did just needed a quarter turn. Two I have tossed. Most can be used three times. After the leak test I store them as I would my corked bottles. I use both wine and other glass bottles that had alcahol in them.
I opened a tequla bottle of wine last week that was a year old. Stored on its side down in the damp moldy celler. After I wiped the mold off the cap I opened it. The wine was just as good as when I bottled it. (Not a big mold problem, just a little during the hot humid summer) If any reused cap was going to fail that flimsy metal tequla cap covered in mold would have been it.
This is by no means scientific or a golden rule, but every wine I bottled in a reused screw cap has been fine. Just as long as you have no leaks to start with all has been fine.
Those new caps that don't fit normal bottles I would not trust! They only have two threads, not enough for a good seal. Used once may be fine, but not several times.
Just my observations. Not a study.