I talked to a biologist friend about the possibility of those being eradicated as an unintended positive side effect of our anti-COVID efforts, and he suggested that the animal kingdom unfortunately can serve as a zoological reservoir of some of these viruses and could potentially retransmit them back to humans, so it probably wouldn't entirely eradicate them, but it might certainly drastically hamper them for years.
I for one will be happy to take "will not experience a cold or flu for the next... who knows how many years" as a 2020 consolation prize.
Things I did not know while researching this comment:
The common cold costs the US economy $40 billion a year, and Amazon is secretly working on a cure: https://www.cnbc.com/2020/03/06/amazon-is-secretly-working-o...
The 2018 flu season cost businesses an estimated $15.4 billion https://money.cnn.com/2018/02/02/news/flu-season-business-co... and sufferers $10.4 billion in hospitalizations and outpatient expenses https://www.cdc.gov/flu/pdf/business/Toolkit_Seasonal_Flu_fo...
That seems to imply that the combined economic benefit of nearly eradicating both could result in an economic boon of $65 BILLION a year, and that's just in the United States! Not to mention all the people who won't die of the flu, etc...