You're correct that the RT-PCR test does not distinguish between active and inactive virions (as a virus does not meet the criteria for being "alive"). However, you're incorrect to say that it doesn't tell you whether it's SARS-CoV-2. It does, when run properly. The test triggers off genetic sequences only found in SARS-CoV-2. They're literally the sequences that make SARS-CoV-2 SARS-CoV-2 and not something else (like SARS-CoV-1 or MERS-CoV).
"The issue also is that the PTB have designated a positive test as a CASE. In medicine traditionally a CASE is a sick person and that is how the PTB refer to a CASE."
What constitutes a "case" for any particular illness varies from disease to disease. Always has. Take a look at the CDC's Principles of Epidemiology in Public Health Practice. This is decades-old stuff. Here is a WHO document outlining case definitions for several diseases. Each has its own individual criteria. This is how everything works.
The case definition for SARS-CoV-2 is actually a bit more complicated than "did they have a test?" That criteria is listed here. It includes criteria to distinguish between a new case and an existing case and a laboratory test is not the be-all end-all of the case definition.
"If you want a better way do it the old fashioned way."
This IS the "old fashioned way". You define the criteria for the specific disease and apply it consistently. That's how it's worked for decades.
Re: “The test triggers off genetic sequences only found in SARS-CoV-2. They’re literally the sequences that make SARS-CoV-2 SARS-CoV-2 and not something else (like SARS-CoV-1 or MERS-CoV).”
***
Where did you get this information ? Link please .