This "per capita" thing isn't something limited to Trump lovers or Trump haters. The day before yesterday, Trump bragged about testing numbers saying we had done a lot more than South Korea. He's right. But the press jumped over the fact that, per capita, South Korea was still way ahead, and that's probably the biggest factor in why they have fewer cases, per capita or not.
People spin statistics to make their position look better.
Regardless whether we are 1st or 3rd or whose data is more accurate, if the things that are being done now to get the private sector involved in medical supply production had been done at the beginning of February instead of the middle of March, would wouldn't have the highest disease count, no matter how you measure it.