I guess you should email the NYT and ask them to stop peddling conspiracy theories:
https://www.nytimes.com/2020/08/29/health/coronavirus-testin...?
https://www.nytimes.com/2020/08/29/health/coronavirus-testin...?
I'm a bit confused by this article. AFAIK PCR tests are only reporting a positive at 35 cycles. The author of the article is correct that it is run for 40 cycles often, but this is only because a positive between 36-40 cycles indicates "unclear result" and the test is repeated with a different assay targeting a different component of the virus. Positive is only reported at 35 cycles max.
This should not pick up any "dead cells", it will pick up viral mRNA. There is a concern over picking up low loads, but the mRNA is still there.