You and I might feel that way but the DOJ and lower courts & SCOTUS don’t (SCOTUS could change this but hasn’t in the recent rulings and there is precedent again it).
Equal Opportunity practices and Civil Rights Act of 1964 prohibits discriminationon the basis of race, color, religion, sex or national origin but not medical choices.
American with Disability Act doesn’t protect against this either because vaccination status isn’t considered a disability.
It’s shitty but we would need Congress to pass a law prohibiting that specific type of discrimination which isn’t gonna happen even if the GOP is in power or have individual states pass laws.
Puddin would veto such a law and the GOP isn’t gonna have veto proof majorities in the Senate. Also many in the GOP think it’s a business’ choice and well within their right to decide whether to require it or not (see Ohio and Arkansas governors for example).