The distribution of goods will probably be maintained until others lower the gap over time.
Using the metric of “4 earths of resources” is confusing and easily misunderstood. What that metric means is that if everyone were to have the same consumption as the average U.S. person tomorrow, we wouldn’t have enough renewable resources to meet demand.
This is not an insurmountable problem. It just requires increasing production everywhere else. Your cited metric isn’t a stat on the theoretical limit of global production, it’s one that describes its current limits.
The stat also factors in carbon emissions, but this is also easily addressable in a world where labor and maintenance is cheap.
How about non-production issues:
Land, energy infrastructure, mineral deposits, grid capacity, etc.
Who gets to live in the nice parts of the world? Who has a national park as a neighbour? Who gets to be ravaged by hurricanes every year? Who gets to have more energy production closer to then? Who will own the land that has the finite resources that are used to create abundance? Where will people with the most power live?
There are so many reasons beyond production why certain areas fare better than others inherently, I have not seen any answer to this apart from that all rich people will just fold and we will all be moved into soviet skyscrapers which I find improbable.