Signing on with those who are against baldness or a dramatically receding hairline in classical roles, and there may be others, such as dramatic story ballets, where it matters as well. There's no shame in a wig or toupee. Unfortunately. bald is not a great look on a prince onstage -- or off (just ask Albert or William).
I also suspect if it was a female dancer gone bald or losing hair for any reason, we wouldn't even be having the discussion. She'd put a wig on.