Yes, but even if P(Survive infection|Survive first infection) > P(Survive infection|Have been vaccinated), in general the far more interesting inequality is

Yes, but even if P(Survive infection|Survive first infection) > P(Survive infection|Have been vaccinated), in general the far more interesting inequality is P(Survive first infection) * P(Survive infection|Survive first infection) << P(Survive having been vaccinated) * P(Survive infection|Have been vaccinated) So it usually is still a better strategy to get vaccinated than to get infected.