I think you're overestimating the taxes paid by a shell office (it's not uncommon for dozens/hundreds of organizations to use the same small office suite, staffed by a single receptionist).
Fancy private school in expensive neighborhood registers their official address in a poor neighborhood, and calls the school in the 'nice' neighborhood a "satellite campus".
Fancy private school in expensive neighborhood registers their official address in a poor neighborhood, and calls the school in the 'nice' neighborhood a "satellite campus".