I'd say just make the change abruptly. People will notice, but so what? I think it's better for hairpiece wearers not to keep that fact a secret -- you'll be far less prone to embarrassment if others know you're not trying to hide anything.
Medical practitioners garner comparable or greater revenues for treating heart disease, trauma, and mental disorders than for treating cancer, so logically there should be more money in curing the cancer patients so they can live on to require the other higher-grossing services.