That's very interesting. I'd love to see an analysis. Perhaps that's true, but I think generally speaking, those benefits are realized. At least, that's my experience in my social circles. Most of my friends and colleagues that are US citizens vote, and there clearly is a culture that comes with it.Growing trees specifically to bury them may not be a practical approach to carbon sequestration, but as long as people are already shredding trees and delivering the pulp to my doorstep, and there is already a giant, hermetically-sealed hole in the ground somewhere, and handlers and trucks carrying my banana peels to that hole, it seems better to add my newspaper to that long-term storage rather than consume more energy to reduce demand for trees which suck carbon out of the atmosphere.
It seems to me that all of the benefits you mention could be had without taking the trouble to vote (and are far from guaranteed when people do vote), or else depend on a vote "counting" by possibly altering an election outcome.