It cost an employer quite a bit of money to hire a new employeee in a technical/managerial position. They will probably fly you somewhere and give you various test and various interviews...and wine and dine you meeting your future bosses
They do not want to go theough all of this to hire you, spend money on air fare, dining etc and then you say you do not want to be vaccinated.
Private company their rules.
My brother-in-law works in a highly skilled trade for a place you would expect to be ruthless about vaxxing requirements [higher ed - blue as blue can be].
My sister-in-law told me that his department head is giving the boys a wink and a nod.
Then I realized that he could bale tomorrow and start working for a small contractor or himself without skipping a beat.
His employer would be SOL.
I love being skilled trades.