You should get vaccinated, even after you have already had COVID.
Breakthrough COVID-19 Disease
It is not true that 60% of new COVID-19 patients have been vaccinated, but it is possible that some docs have been telling that to Harvey Risch, as it is almost certainly what he would like to hear.
Breakthough COVID-19 infections in those who have been fully vaccinated are rare.
If you test positive after your first dose of COVID-19 vaccine, you should still get your second dose.