JrStafford wrote:
There's some rot right on the edge by the wall, but nothing load bearing.
You are missing exactly what the problem is....the edge IS load bearing!
A bunch of 1x lumber stapled together will bear weight directly from above, but have no resistance to collapsing when pushed from the side or end. Watch when they build a house, they need to use diagonal 2x4's to brace the walls until the plywood sheathing is installed other wise the wall would fold like a cheap suit.
the plywood exterior is glued and stapled to the framing and THAT'S what gives the the cabover its vertical strength. The plywood is what keeps the frame from buckling. Look at how the 1x3 at the top of the propane compartment is pulled away about 1/2" from the fridge floor.