Doctors risk their lives. If and when they get ill during their work we should spare absolutely no expense to get them well again.
Also, if I were a doctor in a situation like that it would be good to know that my back is covered in case I do get ill. It would substantially increase the likelihood of me continuing to risk my life. If I saw other doctors around me being abandoned if they got ill then I might have second thoughts about staying in that line of work.