That's not, to be clear, for reasons of technical capacity. The vaccine drive that started in ~February or so of this year was pretty good evidence that the government is still capable of doing big things.
For testing, I've been to many facilities. The county run facilities have been efficient and organized, whereas the private ones were not set up as efficiently to get tests issued and results returned.
That said, my primary care office is now set up to return results quickly, so private seems to be catching up.
Speaking from a Maryland PoV.