But wouldn't the billionaire only be able to do that by continually overpaying for all your assets? I would _love_ to have someone like that around. This is not even a complicated trade.
In practice the spiteful billionaire will monthly send you offers $10K over the higher of your estimate or fair market value. So you'd be moving every month and incurring all the moving costs continually, or just continually dealing with the legal dealings of such an offer.
The transaction closes and the billionaire just sells the house at a small loss. The situation is asymmetric because the billionaire never actually uses the house.