To really gauge the depth of the problem, I prefer to focus on the death toll. Higher infected number could mean better testing or greater infection; it's not certain. Rather the number of casualties really describes the all-inclusive big picture fight between the infection against the health care system and gives us a better look at how well the nation is faring against the virus.
Exactly, the countries where "testing" is being pushed as the "be all, and end all", of corona virus treatment have higher numbers of confirmed cases and lower death rates. The countries, such as the US where treatment of the most severe cases is the priority, rather than testing, show a lower number of "confirmed" cases, and a commensurately higher death rate..
As the need to treat severe cases begins to abate, I'm sure there will likely be more large scale testing, just as China is currently doing.
The countries with the highest infection rate, with a corresponding higher death rate, are all high mobility countries: China, Italy, Spain, UK, and the US, with relatively fewer restrictions on travel between one another..
Almost every country has attempted to restrict travel as the first line of defense, I'm certain that has reduced the total number of cases overall, in addition those countries where a higher priority has been placed on testing, have fewer ongoing cases of transmission....
I'm rather certain that each of us have become more concerned about COVID-19, as it has become a factor in our own country.