Another thing you could try is to pull out the nuts, clean off excess plastic, and then try to reseat them with a very hot glue gun.
I just happen to have a snow ski base repair gun with p-tex stick (Don't ask why. I collect things "just in case.") I keep it around in case I need to fix the rotomolded polyethylene kayak.
The way to repair rotomolded PE boats with with "welding rod." It's basically a thin stick of the PE material, looks like shoestring licorice. You put a thin nozzle on a heat gun, and kinda melt the boat, and melt the PE welding rod in.
My thoughts on molded in nuts like that, is that you'll need to make a jig with long bolts or all-thread, just to hold all the nuts in proper alignment as you try to melt them back into the substrate.
I'd rather try and find proper marine SS blind fittings like 31seahorse says. There's an article on these fasteners by Cap'n Pauley in the current Good Old Boat magazine. Or is that Small Craft Advisor? I can't remember which, I think Cap'n Pauley is GOB...