To be honest, I wasn't even sure what your question was
Basically each country does things their own way. e.g. Who is eligible for a test? Do you have to pay? How ill do you have to be to get hospitalised or into IC?...
IIRC, in the early days Vietnam hospitalised every case.
And the US is about to massively increase the amount of testing it does (stable door, anyone?)
https://www.washingtonpost.com/healt...e-covid-tests/