I don't see how carpooling is relevant here at all. Even if you carpool or take a bus, you still need the road and wouldn't be able to commute if that road gets blocked off.

First of all, I have doubts about the degree of overlap between the two groups of people you mentioned. Jobs with inconsistent shifts tend to be things like food service and retail, which are distributed and local enough that anybody working such a job should be picking one they live near. Conversely, jobs specialized enough to be worth commuting a longer distance to are more likely to have consistent shifts, making carpooling more likely to be viable.

Second and more importantly, "work from home" is only one aspect of the problem and being among the executives fighting it is hardly the only thing that would make a person part of the problem. That gets us back to your first claim: "people are largely too poor to live close to work." No, they largely are not. They're too poor to live close to work and have a single-family house with a yard at the same time, and they choose to prioritize the latter. That not only makes them directly responsible by participating in the traffic that they're in, it also makes them indirectly responsible by demanding policies like low-density zoning that inflates supply of single-family houses while restricting supply of dense multifamily housing. This subsidizes the price of the former, drives up the price of the latter, and physically displaces even some of the people who would like to live in dense multifamily out into the suburbs.