Realizing I did not read the whole post, but commented anyway, I decided to go back. Interesting subject. I don't think that 400 degree fuel temp "in the injector" to be impossible. Not saying it so, just not unreasonable.
Think heat from "absorption" not "compression(plus added to compression).
Then, the fact that it does take considerably less BTU's and time to heat liquid than air.
The head itself is cooled by liquid, btu absorption again. But the injector, which should be affected by combustion temps, would not cool as quickly because it is cooled more by air, which has a slower thermal transfer than liquid.
So, take it as it is, just one High School educated (or uneducated) hillbilly's theory. What do think? Hit me!
Still no data, just theory and an angle to think about.
I imagine even though this 400 degree heated fuel is going to be burned, some of the heat gets absorbed back toward the pump. Now I understand the fuel cooler on the ALH auto trans. Bigger pump, smaller injector nozzle, more heated fuel returning to the tank.