As an RN, the OP should know that you can still transmit the flu without having any symptoms. The virus has an incubation period where you can be infectious WITHOUT visible signs/symptoms (ie. incubation period 2 days for seasonal flu per WHO). Because you work w/ a medically vulnerable population, it is essential that you do all you possibly can to protect them. The request to wear a mask if you decline the vaccine is not unreasonable.
Yes, and I have never said that wearing the mask is unreasonable. I said that making different populations wear the mask for different amounts of time is unreasonable.
If I am sitting at my desk next to a person who is allergic to eggs. We are both required to wear a mask. We are both outside of the room with the the door closed away from the patients. I have to have my mask on while she does not. THAT is unreasonable and is punishing the people who oppose the flu vaccine.
I agree that you should all wear the mask the entire time while in a clinical setting. That's the policy at my hospital, it's fair and logical. Regardless, I was also addressing your initial statements about never showing up for work while ill -- the point is, you can still be ill w/out knowing it due to the incubation period.