I guess being three paragraphs in... it was a little past your attention span. ““Comparing households infected with the Omicron to Delta VOC, we found an 1.17 times higher SAR for unvaccinated, 2.61 times higher for fully vaccinated and 3.66 times higher for booster-vaccinated individuals”.
I know it's hard, let's make it a little simpler for you; the bigger numbers are bad. So, to repeat they go from 1.17 for unvaccinated, to 2.61 for vaccinated to 3.66 for booster vaccinated. “SAR refers to secondary attack rate.” But don't worry even though this is too difficult for you to understand, we still love you.
Your condescension is misplaced - it is you who are wrong.
They are comparing Omicron to Delta - not vaccinated to unvaccinated.
Omicron is more immune evasive, because it is more different in appearance (over 50 mutations). It is more evasive of immunity from prior COVID infections as well as vaccination.
Being more immune evasive, means Omicron has a relatively higher ability to produce a breakthrough infection, than does Delta. Those SARs quantify the degree of difference between Omicron and Delta, in their relative immune evasiveness. The stronger the immunity, the greater the relative advantage that the more Immune evasive strain has over the other strain.
So the higher SAR indicates a stronger level of immunity - therefor a greater relative advantage for the strain than is more immune evasive.
It does not mean that those with higher vaccination status get relatively more disease (the opposite is true). There is a vaccine protective effect, it is just relatively less protective against Omicron then Delta.
So you are wrong, and you were rude about it.
You should apologize.