Hi! Sorry to hear poor little Jamie‘s confined to crate, I know from experience what a nightmare that is!
I don’t have any experience with white noise although after reading somewhere that classical music helps calm dogs, I did used to have it in the background while I was getting Humphrey used to the grooming table and it did seem to help.
Most positive dog training is based on association, so I could well imagine you could continue to use the white music as a calming signal, by playing it when he‘s naturally relaxed and happy? It certainly can’t do any harm to try.
It‘d be interesting to know how you get on with it, it may help others dealing with separation anxiety.
Lots of
for the little patient, hope he‘s out and about before too long. Do keep us updated!