Ok, so after measuring for a few mins, it looks like the 7812 starts leveling off around 210F. The data sheet says it is functional up to 257F (125c). You really believe this is how it is supposed to be? I assume they designed this unit around only being on battery power once a year for about 3 years, so I can't say I'm surprised, but... just skeptical, that is all
Another thing I noticed, but am not sure about is it looks like the circuit is not accurately measuring the 3 battery supply. It shows only 1% battery remaining while having 37.25v. I'm using car batteries, but I assume that should not matter.
I'll see if I can locate what chip does that measurement and see what I can find