There are two sides to an exponential. If R0 is >1, it just keeps going up. However, if R0 is <1, it just keeps going down. The point of the lockdown is to get it <1 so it keeps going down for a while, until the case counts are low enough that we can adopt a different strategy.
Including cycling lockdown on and off without me very reaching a caseload that causes collapse of the healthcare system until we get a vaccine, etc., to change the basic equation. But first we've got to get R<1.