So the process used in this testing is so common that research labs and any biochemistry lab in any college or high-school can run the test. But they probably shouldn't because they have no practice nor experience providing a diagnosis to a human - much less the strict statistical controls to interpret their results reliably.
A clinical lab that is used to running these kinds of (very common) protocols will see no difference in this protocol from others they commonly run (from a chain of custody, sample integrity, etc. perspective), just with a slight change to their reagents to specifically test for COVID. Their handling should be no different.