Was there some other, better, established method?
We may learn from Taiwan*.
Quote: "Extensive public health infrastructure established in Taiwan pre-COVID-19 enabled a fast coordinated response, particularly in the domains of early screening, effective methods for isolation/quarantine, digital technologies for identifying potential cases and mass mask use."
https://www.thelancet.com/journals/lanwpc/article/PIIS2666-6...
Unfortunately, all the media reporting on which countries have succeeded or failed and why seems to have been incredibly inaccurate and blatantly partisan.
Trump threw it all away very early on.