Yes and no. Incentives have to be right but you can't ask your physician to harm himself if he doesn't cure you. "Sharing the pain" should be kind of asymetrical if you want anyone to take the job.
Physician doesn't get paid more if you're healthy. He's paid more if he tries longer (in time) or better (more exams). (Ofc the analogy stops here and we're not really discussing physician compensation). Big difference: you don't get compensated for risk taking while not suffering the consequences if not.