ujm > I don’t think anyone argues that the vaccine is more protective for someone who didn’t have Covid compared to someone having recovered from Covid but not having vaccinated.
This seems to be an unsettled question. There are papers going both ways. It may depend how you define “recovered” and “protective”. If someone had a quick brush resulting in a positive PCR, his immune response may not have been large. Vaccine gives controlled exposure. On the other side, exposure to virus goes thru mouth/nose, generating some response there, as I understand, while vaccine does not. So, this might give better relative protection from initial infection (v. sickness when it gets to blood). How it all interacts with time, T-cells, personal health, all unclear.
Again, the reasonable advise seem to be that people who got it to get at least one vaccine.