Michael Levitt has already shown the world a long time ago that COVID-19 is sub-exponential. Any competent mathematician can do that, just look at f'/f in a logchart (death per day / death total) look at the data of Germany - use 7 day averages to be surprised)

So going for herd immunity is most likely mistake. For something that destroys itself in the long term anyway (R0~0,7) something like "duck and cover" would have been the right strategy.