This claim is total crap. The list includes all US citizens who renounce their citizenship, regardless of their net worth. [1]
You also cannot renounce your citizenship for tax dodging [2]:
> Persons who wish to renounce U.S. citizenship should be aware of the fact that renunciation of U.S. citizenship may have no effect on their U.S. tax or military service obligations (contact the Internal Revenue Service or U.S. Selective Service for more information).
So plan to become rich after renouncing (and without the IRS noticing).
[1] https://www.federalregister.gov/quarterly-publication-of-ind...
[2] https://travel.state.gov/content/travel/en/legal/travel-lega...