I don't think this makes sense. If this is actually true then the US is just completely broken. Coronavirus is a global pandemic - are you arguing that each individual local jurisdiction should develop and manage it's own tests? That's horribly inefficient and slow.
The initially hit states were depending on the CDC and FDA to provide tests (or at least approve tests):
https://www.newyorker.com/news/news-desk/what-went-wrong-wit...
Unfortunately under the current administration the CDC and FDA are understaffed and being run extremely poorly, which greatly hampered initial testing. If your argument is that local jurisdictions should be responsible for pandemic testing, that makes very little sense to me. It is far more efficient for a single organization to coordinate pandemic response at the national level.
Here in our county in rural Montana (based on info from the local medical establishment, who I know fairly well), we have been conducting much more testing than you'd expect based on reports from around the country, and we have never had a shortage of tests, and our small hospital lab will shortly have in-house testing deployed.