Sounds like its pressure rather than interference/moisture, maybe a cold solder joint somewhere, is there an IC on the board?
When you say it's okay till you tighten it sounds like broken contact or short.
I tried poking with a wooden stick and it did not do the error.
I looked at all the videos and stuff about ripping off the membrane and peeling off layers and I didn't like that.
Instead, I think I found the root cause(s).
The PCB is single-sided and it connects electrically to the metal case by a single screw. The bottom of the PCB has a star pattern with solder for contact to the metal case. Well, solder flows over time so I guess the contact got worse, so I re-flowed lots of solder on there.
Then I looked at that stupid loop of conductive plastic. Looks like it was meant to touch the metal bracket and make a contact, but it's just sitting there like an idiot with nothing forcing the contact, just the lightest touch.
So I soldered a wire to the loop and soldered the other end to the metal bracket.
Now it seems to be working fine inside the oven. We'll see tomorrow.
These new appliances are so aggressively cost reduced it's embarrassing. It's like engineers have no say in a company but some accountant can say "this will save 0.1c today" and that's it, we build cheap! Geez, a star washer won't break the bank...