The problem I see with that statement is that it's difficult, if not impossible to falsify.
Hospitals are nowhere near being overwhelmed, in general, which means that they have some capacity to handle an outbreak if we lift restrictions gradually. I know people who work at hospitals in places like LA, and they've reported that activity is relatively slow. (of course in part because fewer people are going to the ER for other issues)
Lives are being ruined by furthering a draconian lockdown. I know several people who have not only been laid off, but had their businesses destroyed and their dreams crushed. Someone in my neighborhood spent their life savings on starting a gourmet burgers and brews joint next to a movie theater, which would have undoubtedly succeeded in normal conditions. They're getting very few curbside orders because they opened after the pandemic started and nobody is familiar with the brand. They're almost certainly screwed, especially if some semblance of foot traffic doesn't begin coming back in the next month.
I, too, was in the early stage of starting a brick and mortar business before the lockdown. Fortunately, I hadn't opened up anywhere yet. Because my business relied on the existence of gyms, I would have been massively screwed. If there is a god, I'll thank him now for not putting me through the ordeal of owing tens of thousands of dollars to the bank. Now I'm not even going to bother opening up because there may not be any appreciable business in the next year or so, which also means people whom I would have employed have to look elsewhere and may be out of work.
Low hospital utilization seems to have become our only metric for success. I think that's crap, especially now that it's coming out that way more people have had this virus than the numbers suggested.
We can put on masks, wash our hands, and all that, but this idea that "the new normal" is to have little to no proximity with other human beings is demoralizing and wrong. Life isn't just about staying alive.
EDIT: To bring up anecdotes is not a fallacy, and I won't apologize for it.
Some ignorant boob happened to bring up NYC, and their comment to mine got flagged, but I still want to reply to that point.
You can't focus in on a particular city and then claim that, without draconian intervention, that NYC will be coming to a neighborhood near you. It's more complicated than that, and the more data we are getting, the more it's looking like we could begin to take measures to ease the restrictions in a reasonable way in parts of the world where it makes sense. But people like to point at the raw numbers rather than looking at the science or the per-capita numbers.
By using the logic of "but look at NYC!", we should keep the entire world closed until every city on the planet has no more cases, which is highly improbable and destructive.