In healthcare hospitals require you to take the flu vaccine yearly, annual TB testing and during the pandemic rapid covid teating and temperature screens. The only reason the covid vaccine is not required yet is it is not FDA approved past a emergency approval. What they accomplish is lowering abscences due to flu outbreaks and help ensure a safe enviroment for co workers and patients. I have no problem with employers doing this...heck most health systems wont hire you if yoy smoke or do smokess tobacco as a nicotine screen is part of the drug test to be hired.
maybe just maybe they speak the truth