The claim about the PCR tests generating false positives seems to be overstated.

The man (or woman) who made the claim admittedly did not give us any numbers, but did say that most people at any given time have coronavirus (in a generic sense), from which we are led to conclude that most people, if tested by a test that does not discriminate between coronavirus types, will test positive.

However, the data simply does not support (at this point) a 'most people' false positive rate.  In the US we have administered about 2.2 million tests, which have generated about 400,000 positive results.  That means that something like 20% of people who receive a PCR test get a positive result.  Keep in mind that the only people at this point who are tested are those who are symptomatic enough to go to the doctor.  So those 2.2 million who've been tested are sick with something.  If it were a generic coronavirus (which the person who made the claim said is likely) we surely would have more than a 20% rate of people testing positive.

It may indeed be the case that there are false positives within that 400,000.  In fact, it might even be the case that half of those 400,000 are false positives.  But no matter the case, what is certain is that the false positive rate is simply not as large a problem as that medical professional claimed it was.  Way more people who are sick and who get one of these tests are testing negative than are testing positive.

This doesn't mean anything other than it means.  But with a little distance from the information in that video, and with more information coming in, I think it's fairly safe at this point to conclude that whatever problems exist with PCR tests (and even the MSM admits there are problems with those tests), a problem of mass, indiscriminate false positives doesn't exist.

FWIW I am using worldometers as the source of my numbers: https://www.worldometers.info/coronavirus/#countries