The only people going to Mars for the foreseeable future will be those with explicitly useful skills that can only be done in person. The 0.01% are going to be dead weight up there unless they have such a skill. And given it's a one-way ticket... how much social pull will the 0.01% have over the people with actual skills.
You may be a multibillionaire on earth, but being able to sell widgets to the masses isn't a skill that's going to be needed (or appreciated) on Mars for quite a while. Cut off from your wealth, you're just another mouth to feed.