Have we gotten to the point where the Virus cases per day in the US exceeds total possible test capacity? At some point, cases will plateau because we simply can't test fast enough...
Had to read that twice-and-a-bit. Total
actual (new} cases... is the default position, beneath which
((edit: sorry, bad phrasing, YKWIM)) you (and we in the UK) probably haven't managed yet. Total
identified (new) cases would never go north of the current testing number[1] because, well, you can't ever assign positive/negative to 110% of those tested, never mind get positives to that kind of supercentipercenty level.
Highly suspected cases (or back-extrapolated by later results, investigated vectors and outcomes), that'd be tricky. It'd also be the case the Trump would be 'right' in that only by testing more people clearly in distress (or worse) to discover their official condition, do you get to a point where they
obviously were a case two weeks previously when they weren't tested because there was no capacity to do so. So if you don't test so much, you can never
know you weren't testing enough.
(On the other side of that, I see there's still a lot of meme activity like "Person X died of <clearly non-Covid reason>, but is marked down as a Covid death", continuing to suggest there are inflations in the figures with the heavy imication that
all the positives are doubtful, rather than percentile rounding errors. The one where X is George Floyd is, I would say, 'unbecoming', except that the 'people' who sparked that one off will already have shown their colours in that direction and it's probably sadly inevitable.)
The estimates are that the US has (just passed) 4 million cases, give or take arguments. I forget what total tests-done (not people-tested, unfortunately). The rate of positives found (probably includes positives (re)confirmed?) has been published/worked out for all periods. I'm sure we could establish whether the argued-over value of instantaneous cases-likely exceeded the likely number of persons-tested, at various points along that timeline.
Excluding the very beginning, and a little beyond, when there obviously were cases but equally obviously no way to test
at all. Every country, I think, will have had that phase in their profile, hopefully that ended quite early (and did not realise later).
But because a lot of that is interpretation, and there's little data to interpret (North Korea/Turkmenistan, you have your reasons...), and the data to interpret is presented very differently across jurisdictions, I don't think there's a fool(/dictator)proof comparison to be easily had, here.
[1] Recipients, not tests, which is << total testing capacity in reality.