You seem not to understand the Canadian health system. Privately owned clinics are allowed to enter in contract with the provincial government and be paid by the public insurance system for services provided. This is the framework under which the doctor was operating.

Doctors of all stripes are allowed to open their own practice take on cases privately. There is simply no profit in opening a private practice to deal with difficult to diagnose cases affecting generally poor people requiring dozens of experts to investigating over multiple years. That's why no doctors decided to set up a private practice to deal with these patients - there is no profit motive. Too much work, and too little pay.