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With the WFH example - suppose that 1) WFH is issued by companies as a blanket policy (different from 2-week isolation from getting sick) 2) people who get the vaccine tend to be the ones that WFH, and 3) WFH allows for less exposure. In that case, the people who get the vaccine tend to have less exposure and fewer chances to get sick, regardless of vaccine efficacy.

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There's definite vaccine rate differences in industries, but much of that might be largely explained by age demographics of industries..

Given two people who WFH the vaccinated one can conveniently eat in a restaurant and go to the gym while the unvaccinated needs to get take out or is getting regular tests. I think vaccinated people have much more interaction with the virus unmasked in an indoor environment but much less likelihood of ever being tested when having light or no symptoms.

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