I’ve been reluctant to add to this conversation since, although well familiar with mouse, I have no experience of it in distilled beverages.
But certainly I can confirm that the main chemicals involved are high boiling acetyl pyrrolines and tetrahydropyridines which are not very volatile. Also, they exist in cider or wine as non-volatile salts which is why you cannot smell them in the headspace until the pH is raised. And for the same reason it takes a while for them to be obvious in the mouth.
So on the face of it, it seems unlikely that they would distill over. However, this may depend on the actual pH of the cider, and the lower the pH the less carryover one would expect. Also, distillation is sometimes a funny process, and high boiling compounds can sometimes come over as unexpectedly “steam volatile” due to effects such as intramolecular hydrogen bonding. We should also bear in mind that there are at least 3 known chemicals involved (and probably more) which may have different distillation behaviours and probably different interactions with human aroma receptors.
If there is good empirical evidence that mousiness can come over in a distillate, then I think we should accept this. However, I agree with Wes that the simple addition of an acid to lower the pH should theoretically reduce the carryover. UK perries as described by Albert are typically quite high pH, so again that effect might be reduced if the pH were dropped before distillation.
Andrew