That’s only true under current conditions. If we move to social distancing themselves the doubling rate may slow down significantly, which would actually increase the time to burnout.
It seems unlikely that will happen in the US due to the executive branch messaging very much being "Everything is fine folks - oh please don't stop going to work!"
It is comically right out of the plot of every pandemic-type movie where no one in charge takes it seriously enough at the beginning and it therefore spreads wildly out of control.