I haven't heard about a relationship with these liver enzymes and Wilson's disease, but there is a high correlation between elevated liver enzymes and the glycogen storage diseases, especially in the case of the disease I have, late onset acid maltase deficiency, GSD type 2. Also, patients and doctors are warned to be aware of anesthesia risks with acid maltase deficiency.
Years ago, before muscle symptoms arose, a doctor noticed elevated liver enzymes and later tests showed an enlarged liver. Also, later tests even showed that my digestive muscles in the stomach seemed to be largely paralyzed. Nobody suspected a myopathy, although I was tested for Wilson's. It was 15 years later that skeletal muscle weakness became a problem.
This disorder is hard to diagnose because muscle biopsies may not yield consistent results in adult cases. Specific enzyme or genetic tests must be performed.
I'd strongly recommend based on my on lessons learned that you try to keep from speculating on a particular disease, however. Instead, you could ask your physician if they would recommend a referral to a teaching hospital or similar place. I went to Mayo. My internist and neuromuscular specialist know almost nothing about the specifics of these rare diseases, so they were happy to collaborate with the Mayo docs.