I think the fundamental issue is that the public health measures break down once everyone doesn’t have to follow them. So either you refuse to admit that there’s no reason for a recovered COVID patient to wear a mask, or quarantine after close contact with a new case, etc.
Or else, if you admit that exemption, you either basically can’t enforce the rules anymore, or you need to track everyone who was infected and provide verifiable “passports” which is a step toward a dystopian future we should not allow.
I think in the end it’s easier to deny that there is true natural or vaccinated immunity than to deal with this conundrum head-on. However, at some point the admission must come, I can only hope in the April/May timeframe once vaccination is more widespread.