I appreciate the response. Hard to draw many conclusions from that study for a number of reasons, but perhaps the greatest in my mind is highlighted near the end: "TCOVID-19 prevention measures (vaccination, isolation, and mask use) are likely highly correlated within households, and the identified risk factors might not be independent predictors of transmission".

Basically this article doesn't show that vaccines prevent transmission. It doesn't show they don't either, although that there wasn't a more dramatic effect is a negative finding in my opinion. I wish the authors had analyzes the AR in vaccinated vs unvaccinated household contacts.