I'll bet that all oven doors, and all other appliance doors, squeak.
I'd notice more if they didn't squeak. :-)
With the heat generated, no petroleum products would last long. You
might try the white lube that is used on car doors.
I don't know what it's made from, but I don't think it is petroleum
based. You can get it in a car parts store.
Silicone grease should do nicely. Easily available in auto parts
stores identified as spark plug boot lube or grease. Since it can
survive exhaust manifold heat, oven temperatures will be no problem.
Can't burn, either.
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