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Lots of talk about false positives with LFDs but remember that during the first week of secondary schools using LFDs (in supervised testing) there were only 1,805 positives out of 3,867,007 tests. That's a positive rate of around 0.05% and the false positive rate cannot be greater than the positive rate, so chances of a false positive test with a LFD is very small.
Greenbank
That was written in April when the infection prevalence was 1 in 340. Happy days! We are way higher than that at the moment so an LFT positive is unlikely to be false.