[ceejayoz]

> Or are you just understand the impression that the US, who has produced by far the greatest number of tests (in absolute numbers) of any country in the world, just doesn't have the desire to obtain greater and greater numbers of tests?

Yes. (I've answered this in more detail in the other comment thread, but Trump has repeatedly complained that testing = detected cases = bad look for him.)

There's no indication the Trump administration has invoked the Defense Production Act to ramp up reagent production. They'd be wise to do so, if it's a genuine bottleneck.