Breakthrough infections is a bad term for those infections in the vaxxed population. It implies that the virus broke through some impenetrable shield, which isn’t how adaptive immunity works. As of July 13, according to a Jeremy Olson story in the Strib, we had 3354 breakthrough cases, 371 hospitalizations and 52 deaths in Minnesota. According to my iPhone, that is an 11% hospitalization rate and a 1.55% death rate. Sounds pretty bad. Now let’s go look at the general population data for the same time period. We take the total for that date from the Minnesota tables, subtract these breakthrough data and calculate the same rates. (Far enough back that most data lags should be accounted for, but you never know when Minnesota is going to drop data from months ago.) Now we get 607595 cases (including antigen tested ones), 32936 hospitalizations and 7644 deaths, or 604241 after taking out breakout cases, 32565 hosps, and 7592 deaths. Rates are 5.4% for hospitalizations and 1.25% for deaths. Looks bad for vaccines stopping serious illness.
What are we missing? It should be obvious, we don’t know the age structure of the sub-group. If we did it would almost certainly show us that among the breakthrough cases, almost all are occurring in the elderly and if we did the appropriate adjustment, the rates would look similar to the general rates. But of course, our beloved friends at the Minnesota DOH, in their infinite unwisdom, have chosen not to do that and instead allow rampant misperceptions about what is happening among the vaxxed population.