So let‘s just assume the asymptomatic/ presymptomatic positive rate is 7/8000 - 0,09% of the population. Remember that the reproduction number is unevenly distributed, which means *most positives infect nobody* and most of the spreading is done by a few outliers.
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So you lock down an entire district of 124k people, because maybe 100 of them are pre- or asymptomatic positive. Even without a lockdown, most of these people wouldn‘t have infected anybody; and the chances the outlier superspreaders break through your general lockdown ...
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... which targets almost entirely people who are not even infected or who are but will infect nobody, are quite high. This cannot be emphasised enough: Lockdowns target average people and average behaviours. The pandemic is driven by outlier people with outlier behaviours.
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8000 Tests