Just to make sure we’re on the same page:
When we talk about cycle threshold result for quantitative PCR, it’s worth going through what’s going on under the hood. When a sample is taken, some number of viral copies of the genome is taken. Assuming 100% efficiency of the primers, every cycle of PCR doubles the amount of viral DNA present at the locations bracketed by the primers - that is, the assay makes a copy of that portion of the genome. Each cycle doubles the amount of cDNA present. This amplification happens for many cycles, and when the total amount of viral material reaches a certain concentration, you’ve reached the threshold of detection.
Because of this, the lower the CT value, the fewer doublings needed to reach the threshold, thus you started with more material.
In VR’s case, he was borderline. (Btw, he had his test run by institution, which currently runs about 100,000 tests per day.) That’s why VR got in contact for his positive test score and found out the CT value, which isn’t normally reported.
What would happen if VR had a mutation that was in the 3’ part of one of the primers as mentioned in the manuscript? The PCR reaction would be less efficient. You can think of this like 2 cogs in a machine that are slightly mismatched, so the teeth don’t always match up and force isn’t transferred. Since some small subset of the molecules generated wouldn’t double, instead of doubling each cycle, the total number of molecules would be slightly less than expected. This means the cycle at which you reached the threshold would be higher than expected.
To be clear, under Chan’s hypothesis the opposite would happen - there would be more false negatives if you have mismatched primers. Thus VR would have a CT value ~40 (under the case they cite), which would have been negative result.
I’m unaware of the inner workings of the clinical lab, but considering Alica Chan and Ben Deverman both work at the same place I do, I’m sure there are internal discussions.
Hopefully this is useful, but let me know if I can elaborate, and sorry if i went too basic.