It's an interesting argument and it seems some of the European countries are coming down on this side and essentially letting the virus burn through their population, though I think even they are aiming for a slow burn so that the hospitals don't get overrun. Keep an eye on Sweden, Germany and UK to see how this controlled pace herd immunity approach works.
I think many Americans who still think this is just the flu are going to be surprised by (1) who ends up in hospital, and (2) how sick some of the 'mild' cases that don't require hospitalization are.
There is much we still don't know about this virus, for which we have zero immunity. Saw an article recently that mentioned brainstem infection in some patients as virus migrates from lungs into medulla via nerves. If that's happening, the body will never fully clear the virus - virii that infect nerve cells are protected because our bodies don't attack the nerve cells, e.g., varicella, herpes simplex, etc. Not clear wether that would cause reinfection of lungs esp if immuno-compromised in the future.