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I think a second opinion is a good idea. My vet is a bird and exotics specialist, so your bird vet may be a good choice.
I am editing what I wrote earlier because I just checked in a book I have in a section about head tilt, and the illness that can be one cause is E. Cuniculi. So I would ask either vet to check for that (blood test, I think.) It also says that head tilt can be a symptom of other problems, the most common being ear infections. It may not be head tilt at all, but I'd go for another exam just in case.