It works, I've done it, and I first read about it in Gougeon Bros. book about WEST System -
Use new screws of same size, and wax the threads with a thin film, aka release agent, or wax.
With those screws prepared, clean up so you don't get wax on
epoxy work that comes next.
You can use thickened, or plain
epoxy.
Plain will be stronger, and thickened (with cabosil) will resist wear better.
Small diameter holes should use plain epoxy.
Before epoxy stiffens, assemble
parts, insert the screws, and tighten loosely.
Allow to cure.
Now here's a trick -
It's entirely possible that epoxy will run out, and even thumb/finger prints may be seen later, so look and think ahead; if you can't get a scraping tool into all the places you may want to scrape epoxy off of your
teak, and so on, then you have been forewarned.
Plan ahead and use painter's tape and you may save some cleanup.
OTOH, if you want to finish all of the
wood with clear epoxy and then overcoat with fine UV
varnish, that will work to conceal the thumbprints after a light
sanding. In this last case, leave out the cabosil, since it makes
sanding really laborious.
Criminy, thinking about this is getting me tired......
Cheers ~ 9.6