Well… Yes and no….
I am extremely skeptical of recombinant tests for this reason. They are extremely inaccurate tools no matter how you deploy them and are really only useful for comparison studies… IE - if 80% test positive versus 60% test positive, then you can guess that there was more virus activity in the 80% positive group, assuming there were no other factors.
Recombinant tests use polymerase processes to amplify DNA or RNA segments as found in an organism. Typically, you would test for multiple reactions, picking several unique-ish markers within the virus and then you would only consider a test positive if you got a positive reaction on, say, 5 out of 8 markers IF the person was known to have contact with someone having the virus or to a region where the virus was present.
Otherwise, you would need 7/8 to call it positive, if not 8/8.
The reason being is that recombinant tests have very wide margins of error just on accurately reproducing a protein. They can shift a few codons here and there and then you get positive results because of slop in the transcriptase.
Also, genetic markers are often not as unique as would be desired and the same sequence can be found in whole or in part in many different life forms.
Because viruses use human and human-like proteins to exploit the cell, it makes sense they would contain many shared markers with humans, which means that when the body has high counts of damaged cells, the odds of encountering false positives increases orders of magnitude.
Which is a long, round about way of saying - unless they have an electron micrograph of corona viruses in your system, they just have some marginally educated guesses as to what the hell their test actually means.
These tests would never pass a double blind trial.