It isn't clear to me that they would.
I suppose if your cooling system was highly optimised the extra energy could tip the balance, or is that what you're saying? But then all ic engines would be cooled by their fuel, its kind of inherent to the process.
Edit to add: Different materials expand by different amounts due to heat, and different parts of the aircraft are reaching different temperatures.
If you know all the bits are going to expand x amount in normal flight, then you work back to what size they are when cold, if the shrinkage/expansion is too great you possibly could go with a different material (with various tradeoffs) or you just accept the shrinkage as they did here.
Those seem mutually exclusive?
Do you mean that triethylborane ignites the fuel?
To answer my own question triethylborane is indeed used to ignite the main fuel.
https://www.quora.com/Why-was-Triethylborane-used-as-a-start...
The fuel that was used had to withstand fairly extreme conditions before reaching the engine to be burned, which also made it pretty hard to ignite under ordinary conditions. https://en.wikipedia.org/wiki/JP-7
Three words: the Cold War. See also: Project Sunshine, the Oak Ridge Experiments, SDI, etc. Once you start writing blank checks to the military-industrial complex the crazy ideas start pouring forth.