Though, to be fair, my whole family caught a "virus" during 2nd phase except my father but we didn't go to hospital and just bed rest for 2-3 days. My family really were skeptical of vaccine but personally I don't mind vaccines and would prefer it.
Think of the children ... :-)
Regardless, herd immunity was not a serious possibility at any point (given the high Rº and lack of a vaccine that could prevent transmission), which, considering this was known very early on makes your question, again, a good one not a rhetorical one, despite your intent.
Finally, regardless of herd immunity, at risk individuals would still require vaccination, which makes the herd immunity as a goal, again, irrelevant, which is where I started. It's a nice by-product.