I've seen this on my H31
I have seen the same type of peeling on my '85 H31. So far it has occurred on the aft cabin internal wall, on the undersink shelf in the galley, and just this year, on the head sink counter. It resembles a melamine finish, but is likely something more waterproof that a standard melamine finish (it seems more brittle too). Whatever it is, when it starts to peel, a lot of it will come off in huge patches. I refinished it with several coats of white rustolium enamel(the only oil base paint I could find in my local home store) after spending a good deal of time removing the old finish with a scraper and feathering the edges where the finish stayed put. I have not yet refinished the head sink top, but when I do (next season, or the season after or...) I plan to use formica and marine grade contact cement (assuming I can find the latter). I would definately opt for formica over paint on any counter surfaces. Good luck