I know anecdotally a few of my friends have been vaccinated, got sick with symptoms, and wouldn’t get a COVID test because it couldn’t be COVID, so there is go

I know anecdotally a few of my friends have been vaccinated, got sick with symptoms, and wouldn’t get a COVID test because it couldn’t be COVID, so there is going to be some self selection bias happening in the number of cases that test positive. There are other biases at play as well, for example many businesses are forcing unvaccinated employees to take tests, but the vaccinated are exempt from the tests. So someone could be an asymptomatic carrier and never reflect in the published statistics that NYT is drawing conclusions on. And even then, the 1:5000 odds don’t sound particularly reassuring.