Not sure why someone would want to use an LLM to build a new decompiler instead of training an LLM to BE a decompiler. Especially given the fact that you have an infinite training set to train that LLM from (compilers can generate as much training data as you could possibly want).
There is no point to have an LLM do what can be done faster and deterministically by standard algorithms.
I think using the word "deterministically" in the context of decompilation is not a particularly good idea.
The code generated by a compiler can be arbitrarily complex and arbitrarily varied even before you take into account willful attempts at obfuscation to protect against reverse-engineering (for example, try futzing with compiler optimization flags to see how much the ASM changes).
The "high-level code to assembly" operator is thus not even really a function (same high level code can generate infinite variation of functionally equivalent assembly code) and any attempt at producing an inverse of this operator ... this really does not strike me as an environment where the word "deterministic" seems appropriate.