Yes - but if we're concerned about people who are asymptomatic transmitting, and we need herd immunity in order to prevent transmission in general to the most v

Yes - but if we're concerned about people who are asymptomatic transmitting, and we need herd immunity in order to prevent transmission in general to the most vulnerable, then you 'getting it' and then getting better without producing antibodies means you can get it again, and thus still act as a transmission vector.