Let’s also not forget that the big hospital systems seem to be quite enthusiastic about mandating the vaccines for their employees so they have no interest in standing against it.
I'm not sure that's as universal as you think.
I know I argued earlier that it would be a small percentage of staff that actually quit or got fired over this, but time has proven me incorrect. It seems like there's a low double digit percentage of actual medical staff, and a higher percentage of support staff in hospitals that the vaccine is the red line, so to speak.
I know the large hospital that Mrs. Mush works at had said all summer they weren't going to mandate a vaccine, then when Biden hit them with the mandate they put it off as long as possible, and paused it within hours of the original stay being issued. She hasn't been at work since the SCOTUS ruling, but assumes they have given the longest timeline they can before fines are assessed. It's going to cost pretty much all the hospitals in FL some real staffing issues, and none of them are happy.
FL may be kinda unique but we have a *bunch* of smaller DR's offices and medical clinics (Plastic surgery, vasectomy, large private orthopedic groups, things like that) so the nurses and docs seem to think they can find work outside hospitals.
Combined with normal retirement and non vaccine related burnout I know of two hospital groups here in Tampa that are yanking new hires out of the normal orientation pipeline and putting them in units (of which they get no choice) early.
I wouldn't think all that makes an atmosphere where admins are excited about dumping staff in large numbers.