You will find that often what insurance covers depends on who is getting paid.
In Canada, insurance used to cover electrolysis regardless of who did the work. When doctors got greedy and wanted to eliminate payments to non-doctor operated electrolysis operations (some doctors had taken to opening shops with low paid, lightly trained people doing fulltime electrolysis, but the better work was being done by those who had more training experience and skill). After the lawsuits and political wrangling was done, the government took the opportunity of the issue being opened to change in order to take away payments to anybody! The doctors all closed their electrolysis rooms, and the nation had to start paying for hair removal out of pocket.
Meanwhile, in the US, insurance will still cover it, as long as it is the doctor who is getting paid for it.