Due to T-Cell immunity, a max of 20% of the population was ever going to catch the CV19 version of the flu anyway. Its obvious at this point the reaction was extremely disproportional to the risk.
https://www.mountsinai.org/about/newsroom/2020/study-finds-1... It's a discussion of a study published in nature last November.
Despite this cases rose very sharply between October and early January. Your theory doesn't comport with reality as observed.