This is just straight up wrong. Many countries like China, Singapore and Australia have gotten sizable outbreaks (tens of thousands of people) under control and effectively eliminated the virus in their territories.
I do agree that half-assed lockdowns are the worst of both worlds: you endure the economic damage of shutdown without putting much of a dent in the case count. That said, with mass vaccination on the horizon, even pushing back the peak by a few months is about to start having real benefits.