"As with any other disease, it is reasonable (and expected) for everyone who had covid to not get vaccinated, given that the immunity you get from having the disease is always better than what you'd get from a vaccine."

This is actively untrue.

See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4813740/ vs. https://pubmed.ncbi.nlm.nih.gov/29029053/ for a non-COVID example.