You don’t actually want to understand, do you?
The purpose of running positive and negative controls is to ensure that the reagents are good (they can go bad) and that there is no contamination of the reagents. This is not “a recipe for generating false positives.” It is a safeguard against mistakes. If those controls do not behave as expected, that entire run is thrown away, even if it is a 384 well PCR plate with 126 samples, a negative, and a positive control all run in triplicate. It doesn’t matter what the samples look like if the controls don’t work.
In a properly run PCR, the negative control will be blank, the positive control will be positive, and the results of the samples will be variable, with some positive and some negative.
Your little Google search didn’t tell you very much, did it? “Inaccurate and unreliable results” are not the same as positive results or false positives. Those “inaccurate and unreliable” results are much like the random marks that might appear on paper if you started photocopying a blank page and repeatedly photocopying the copies, the copies of copies, etc., over and over. You would never mistake those random marks for actual text.
BTW, have you tried photocopying a blank piece of paper repeatedly until your copies show clear and legible text? If so, how long did it take before text spontaneously appeared?
Carry on grinding out your deadly “asymptomatic” pathogenic results.