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NYC data from August has some boroughs as high as 51% https://www1.nyc.gov/site/doh/covid/covid-19-data-testing.pa.... The 68% comes from this article https://www.nytimes.com/2020/07/09/nyregion/nyc-coronavirus-.... The data appears to be from doctor's offices- not sure we can access that actual data (but I didn't try that hard to get it).

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68% tested positive at a clinic in one neighborhood. Getting tested, without proper controls, is highly subject to self-selection bias. People were sick, couldn't get a test at the time, want to know if it was COVID, go in for an antibody test later. The people who were healthy, unless selected for a prevalence study, would much less likely to be tested in the first place.

Even in your first link, the highest percent positive is the Bronx reporting 33%. Not sure where you're getting 51% from, but it very much seems like you're trying to cherry pick data to support your argument.

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