@ceeveebee
This might be a dumb question so I apologise in advance, but when we say that 1 in a 1000 LFDs is a false positive, is that 1 in every 1,000 tests conducted, or 1 in every 1,000 of the positive results?
1 in every 1,000 conducted that should be negative, if you see what I mean!
So we have conducted some 2.5m LFTs in England over the past couple of days; With a real incidence of positives of around 0.5% (ONS last week so probably lower now) some 99.5% should be negative; which if 1/1000 were false positive, would suggest some 2,488 false positives. (2.5m 0.995 0.001).
We would also expect some 12,500 real positives (2.5m * 0.5%). The concern here is the false negative rate; if it is, say, 5%, that's 625 people who are positive but get given a negative answer.
The 5% may be too low, that's the problem -we really don't know how effective the LFTs are, just that they are ineffective enough especially in a household setting that they can be overridden by an LFT. If it's just 5% I'd suggest it's not too much of a problem, especially as these are infections that are likely to have a low viral load.