Here's another study indicating that being fully vaccinated offers limited protection from infected persons in the same household. The sharp differentiation between the fully vaccinated/recovered and the rest of the population may not be well founded.
I lived 10 days with a covid positive (Delta) in a small cabin, also spent several hours in a car together, yet I was under no restrictions whatsoever as fully vaccinated and had no obligation to test myself. Before vaccination I would have been placed in quarantine if I had happened to stay 15 minutes in the same room with a total stranger who tested positive. A midway harmonisation would have made more sense, in my opinion. One interpretation is that the promise of freedom vs intrusive restrictions has been used actively to persuade people into getting the vaccine.