No one answered this so just chiming in; yes, you can test for PSSM1 with UC Davis Animal Genetics lab directly, with just mane/tail hairs pulled with root bulbs attached.
https://vgl.ucdavis.edu/test/pssm1
I have a PSSM1 Morgan mare with minimal symptoms but a sire line with documented P1. American Morgan Horse Association has recently done a small analysis of on-file DNA and concluded P1 is not an issue in Morgans-and yet we do have lines where it is very much prevalent and an issue. Since the association will not make this standard procedure for registration, it’s on owners to be proactive to test and be willing to share the results publicly.
All that to say…even in a low-incidence breed, sending in hairs is inexpensive ($45) and at least would give you peace of mind you’ve ruled one more thing out. I don’t have experience testing in TBs so maybe it truly is a waste of money, I’ll defer to breed experts on that, but wanted to share the testing info.
Good luck with him regardless of the source of his challenges!