I think the mathematical edifice is sound, but I can certainly see how being as divorced as possible from typical faculty responsibilities makes it easier to do original / groundbreaking research. Too many professors I know spend the bulk of their time attending to e-mail, grant writing, and traveling to give talks about work others have done. What little remaining time they have is often devoted to teaching. Some of them openly complain about how little time they have to actually think about things, while others seems to roll with it (being famous in your field is not a bad gig). Worse, the more successful you become the more these tertiary responsibilities encroach on your time. It's an open secret that the best-known professors in certain fields basically sign their names on the papers their postdocs and grad students write and that is more or less the extent of their research contribution. Cutting all this out, even if it means moving in with your mom in Moscow, could indeed be a viable option...