So they used the ImmTrac2 system which is the Texas database on who is vaccinated. First, this system was put in place to track children's immunizations. There are adult vaccinations in the system when the patient signs off on it. But only then.
So every adult who got vaccinated and who had a vaccine provider who asked them to sign a consent to be tracked in the state database - and who consented to that - is in the ImmTrac2 system. Okay, so right there, how many adults who got vaccinated are in the system? I can't find the information - maybe someone else can?
But let's assume that only a fraction of the adults who got vaccinated are in the ImmTrac2 system, a fairly safe assumption imo. This study then only counts people who test positive for Covid and who have 100% matching information with the ImmTrac2 database. So if there is a typo, a name change, a middle name excluded, etc. then it doesn't match so that person is counted as unvaxxed.
Now you can start to see that the number of adults in the ImmTrac2 system who match up to positive Covid tests is likely to be small. All other positive Covid test patients are counted as unvaxxed. And this is how you get to a "study" like this one.