I'm not sure I follow the math, but that's on me. Nor do I believe breaking it out in time frames helps your argument. Clearly not for Omicron. For adults I think it has to do in part with age associated behavior. 65+ aren't generally in the workplace. 19-49 are in the workplace and more likely to be out in public, but most of all, more likely to be living with more housemates (roommates, children etc). Just way more points of exposure for that age group. Children are the wild card. Generally they are just less likely to get it overall, regardless of vaccination status. None of this changes the fact that the vaccinated get infected at a material rate, but I doubt its equal to the unvaccinated.The data is fine. You just need to not mix time frames.
A narrow delta window gets you a consistent 65-80% reduction across age groups. Kind of what team panic expected.
The narrow Omicron window puts it at a huge (79%) reduction for 65+, and a moderate ( 30-35%) reduction for 18-49 and 50-64. And almost no reduction at all for 12-17. 12%. I chose 1/9-1/16.
I have no idea what is behind the age dependency. It only shows up Omicron. You have very robust protection for 65+, and a minimal impact on 12-17. Same virus, same vaccine. Completely different results.
No sense in declaring a reason yet. Could be medical (vax works differently in kids?), or it could be environmental (transmission is different in crowded indoor places like schools?). Above my pay grade anyway.
The reason I question the data, is because we all know that a lot of people tested negative (especially since Xmas) that didn't have any results recorded or reported. I think cases are grossly undercounted for both the vaccinated and unvaccinated. If you believe the vaccination prevents serious, treatment required, issues then I would imagine that the vaccinated have the most underreported cases.