
Get a full panel done by Dr Dodds (Hemopet), and emphasise that the soloxine isn't working. Send a list of his symptoms, and talk to her yourself - Remy's last report came back with just the recommendation to reduce his soloxine dose and no mention of his symptoms (done by different vet), so I emailed to discuss - and progress was made.
I have been through this with Remy - he does not respond to soloxine AT ALL. Not for the 3 years he's been on it, not at any dose.
The reason for that is that he doesn't convert it properly into T3 (which the body uses) - so the T4 just builds up. On his last panel, his T4 was more than double the top end of the range.
He is now on T3 (which I have to buy myself from Cyprus) and although I think he could do with a dose increase, I have my old dog back - who I haven't seen properly in 6 years (it took 3 to get the diagnosis).
Bear in mind that as far as most vets are concerned, soloxine does the trick but just as in people, T4-only therapy does not suit every dog - it's uncommon but it happens. It might also be that he would respond to a different form of T4 - I'm sure there is at least one other besides soloxine, possibly two or three.
Also, have they explained why they are reducing his meds once he's in range? That makes no sense unless I'm reading it wrong - the thyroid doesn't get better and that's it, it needs maintaining once the right dose is reached, if it can be reached. And, all dogs are different - some need to be higher in range to be healthy. Remind them of that, too.
Last points - make sure he's getting it away from food (at least one hour before or three hours after) and on roughly a 12 hour schedule. Calcium interferes with absorption and dog food, of course, has calcium in it.