Regardless of the merits from an individually selfish standpoint, this kind of behavior would be extremely anti-social. The overriding public health concern is

Regardless of the merits from an individually selfish standpoint, this kind of behavior would be extremely anti-social. The overriding public health concern is slowing the spread as much as possible. Even if in the asymptote the same number of people are infected, spreading that burden out over a protracted time period minimizes overloading on the healthcare system. If even a small percent of the population became "bug-chasers", it would supercharge the rate of transmission. Especially because the incubation period is so long. The same unhygienic behavior of trying to acquire the disease, would very likely also spread the disease by the asymptomatic. If you put any ethical weight on the consideration of other human beings, then the very minor plausible individuals benefits are more than outweighed by the massive social harm.