I'm personally not a big fan of tile'n'grout countertops - on a boat or at home. Tile makes a nice backsplash for a cabin heater, but for me the uneven surface, grout requiring a real good seal, difficulty keeping clean and mold issues would rule it out. - but that's just me.
I think you're probably right about the interference the tile thickness might have for opening and closing.. could you make them 'lift outs' and pass on the hinges?
'twere it me I'd flatten down the delam and recover with a good formica type material. Chances are the hinge issues would go away too....
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)