It was a natural reaction though. People saw the Italian hospitals overflowing and thought "oh crap! We can't let that happen here!" At least where I am they tightened and/or relaxed restrictions on a county by county level based on how full hospital beds were getting.
Which makes sense - the british called it flattening the curve. No matter how well funded your health service, it doesn't have enough beds, staff or supplies (like ventilators) for a widespread pandemic, because that would be wasteful (of public funds in a single-payer system, and of money that would otherwise be profit in a private system).
