I didn’t think of that, but I guess the conclusion as to performance of the model would have remained the same.
(I put mistake in quotes here because Deepmind showed that with a server farm of TPUs it is possible to distill the search as well. So it’s not impossible per se.)
But that’s ok! You’ve created a super fast evaluation function. Instead of trying to distill the depth 18 output, it will be much more realistic to distill the depth zero output, the NNUE. If you rerun those FENs in Stockfish you can pretty quickly create an easier dataset.