Nobody that I know of would gelcoat wood unless it’s glassed and exterior trim like in the photo is a poor candidate. In fact I doubt you’ll find gelcoat used on any of the deckhouse. These deckhouses are built up and not a molded structure. Those yards cannot afford or is it worth the time and effort to tool up such a complicated and fragile mold.
I’m not sure what material is used to build the deckhouse but you can find out by locating a vent, or shore power connection finish plate. Remove it and look at the cut out in the panel which should reveal either plywood or a sandwich with balsa or foam.
Anyway I only see one proud bung and it’s being pushed out by the fastener below. If there are a lot more than you may have a problem. You could very very carefully pop that bung, if it’s wood, with the white coating intact using a small sharp fine tool. If the bung is putty it still may be possible as the photo reveals it seems to have broken free 360° but you have to wonder if it’s bonded to the screw head. For a small finesse job like this all these considerations are important if you want a quick easy aesthetic fix. The bung has popped because the fastener underneath is working and loose.
Track down that fastener on the interior and see if a similar problem exists. I’m sure it’s a flathead machine screw nutted inside but it may be a screw if it’s nutted inside so you won’t be able to tighten it but look anyway. Either way the screw must be re-torqued/tightened then with real finesse apply some glue and reset the bung. If you are careful to realign ( similar to a pottery chip ) the bung and attached paint will seat with very little evidence. If afterwords it looks a bit rough around the edges take some BonAmi cleanser and rub the area until you get a white slurry and let it set up and dry. Wipe with a wet cloth gently and wax. If this fails it would suggest taping off the frame, sanding with 180-220 grit and spray the same color with a PreVal throw away spray unit.
Good luck
Rick
