Here is a brief caricature to indicate why vaccine exemptions are not useful:

DOORKEEPER AT RETARD STORE: I'm sorry, you need a vaccine passport to get in here.

YOU: I don't need one I have an exemption.

DOORKEEPER: (Reads it) That's interesting, you still need a vaccine passport to buy our retarded goods.

YOU: That's illegal.

DOORKEEPER: No, it's the law.

YOU: My exemption is the law.

DOORKEEPER: No it isn't.

YOU: Call the police and ask.

DOORKEEPER: I don't have to because I've decided you're a risk to our other customers and I won't let you in.

YOU: I'll sue you.

DOORKEEPER: You can't, we're protected from lawsuits.

YOU: Then I'll go to a different store.

DOORKEEPER: OK.

And so you end up going to a store that serves the unvaccinated anyways.