I support doctors. I support janitors. I support all workers.
I perceive no meaningful conflict among workers, and I perceive confusion in anyone who locates the overarching antagonisms in our society as between various workers based on the kinds of labor they provide.
I still have no understanding of any objection you are giving that would seem relevant.
I also have no idea why you are fixated on signs in the hospital, but I hope you find a way to resolve your distress.