Regarding models, it seems 0.15% is the new basis [2].
Even on the optimistic end of the range (0.1% fatality), with 13k deaths, that's 20% of the UK population infected, a long way from achieving herd immunity.
The other thing is that I invite people on hackernews to better control their anxiety. It is not so long ago that pointing that case fatality ratios in jurisdictions that didn't do mass testing and where there seemed to be many unreported cases with mild symptom was overestimating the fatality rate would get you treated of conspirary theorist. South Korea had been measuring a fatality ratio in that range (~0.6%) over a month ago and that was probably already an upper bound (due to not testing 100% of the population).
[1] https://mobile.twitter.com/AmeshAA/status/124944656101010637...
[2] https://mobile.twitter.com/AmeshAA/status/124902067755179622...
https://www1.nyc.gov/assets/doh/downloads/pdf/imm/covid-19-d...
It doesn't matter if the number is 5% with a low infection rate, or 0.5% with a very high infection rate: both will lead to very large numbers of dead people unless we take severe action early on.
And so far they've been right. Covid-19 is causing huge amounts of excess mortality, even when compared to a really bad flu year.
And that’s with elective procedures being cancelled and everyone scared to go to the hospital for any reason. Here’s some new data indicating that half of the excess mortality in England might not be caused by COVID-19 itself: https://archive.is/2eKCW
The early pointing to South Korea’s CFR as low turned out to be misleading in the end due to I guess some issues relating to the data (probably because many cases were ongoing and the persons had neither died nor recovered).
What you can't do - statistically - is say "oh there were just 6, that means it all could just be a coincidence and the prevlence is actually very low".
Especially when - if you dig into the numbers they make sense. First, they were spread over a 2 week period, with all the positives being in the second cohort - which is what is expected if there's an exponential explosion of cases going on. Secondly, 4 of the 6 positives are in the Edinburgh area which is the most internationally connected and affluent area of Scotland.
So I really don't think it can be breezily dismissed just because you don't like the data. But as you say, we'll have a lot more serological data before long so lets see.
But they validated their results with a second step, the "pseudotype neutralisation assay". This test is highly specific for SARS-CoV-2 - as I understand it, they essentially introduce the virus to the hypothetically immune blood samples and then test that it is indeed neutralised by antibodies.
So, I think this Scottish serology test is pretty robust and accounts for these issues with cross-reactivity and specificity of the testing. In addition - they used a control sample from December 2019 none of which tested positive.
Secondly if they were false positives, I would expect them to be randomly distributed. Not concentrated in the affluent capital city, and not solely in the second cohort with none in the early march cohort (as you would predict if exponential growth is occurring).
Your second two points are fairly compelling.
https://edition.cnn.com/2020/04/14/health/coronavirus-antibo...
But, now actual data is starting to come in - such as the extremely interesting serum testing in Scotland (1) - which suggests that the infection rate is much much higher than previously supposed. The Scotland serum testing shows that around 35000 people were infected at a time when only 110 cases were known officially, and strongly suggests that at least 10%-20% of the country have been infected by now.
Similar data has been suggested by the Danish serum testing.
So I'd be interested to see what comes out of this Harvard model if they put in the numbers suggested from serum testing.
1. https://figshare.com/articles/Serological_analysis_of_1000_S... )