Here's a link supplied by the UKHSA in their document dump:
https://pubmed.ncbi.nlm.nih.gov/33219112/
Test sensitivity is secondary to frequency and turnaround time for COVID-19 screening
We therefore conclude that screening should prioritize accessibility, frequency, and sample-to-answer time; analytical limits of detection should be secondary.
and this one:
https://www.nejm.org/doi/10.1056/NEJMp2025631
Rethinking Covid-19 Test Sensitivity — A Strategy for Containment
Frequent use of cheap, simple, rapid tests will accomplish that aim, even if their analytic sensitivities are vastly inferior to those of benchmark tests.
So the claim is that do enough tests often enough to get the result you want, it doesn't matter then if their accuracy is a bit hit or miss.