To be honest, we're dealing with this in the context of a really weird situation; that is the curious case of the existence of the billionaire! How strange is it indeed, that in a democracy there can arise individuals with access to such ridiculously outsized and concentrated power (relative to their individual contribution)?
When the equivalent power of millions of people can become concentrated into a single person, you get all sorts of weird consequences! Most of them not good for the public as a whole, and often with a corrupting influence on liberal democracy. It is indeed fitting then, that a solution targeted at this very rare and specific problem would look a little weird; even though it's extremely similar to the existing property tax that every home owner pays.