Given enough wealth, most people prefer not to live in isolation. While many worlds would in fact have a single human running the show, owning a planet just for yourself is like buying a farm... it's actually something that poor people do rather than what rich and ambitious people do because it isolates you from the resources you would have at your fingertips living in a more urbanized place.
Instead, the really rich people will flock to Urban worlds where many people live where they can duke it out over control of intergalactic industries, stock markets, and political influence. Any commoner can own a world, but to own a simple condo on Earth itself is a luxury very few people can afford.
Sure many rich people might own a vacation world for the occasional weekend getaway, but that is just thier cabin in the woods so to speak.
As for an actual Answer:
When you consider single person worlds "the new rural" then shows of opulence and wealth will be different based on why you own your own world for the same reason that a rural vacation home is different than a rural farm.
If you are one of these country folk out there to make a living, then "wealth" would likely be measured in how well you are exploiting its resources:
- A "family farm" world might have a simple farm and some mines out in the hills all run by robot servants with just the landlord's home and some nice surroundings. He lives off the land but does not really produce any excess worth selling and therefore lacks the wealth to buy many luxuries either. This means that he also can not afford to buy much of anything from the interstellar community including terraforming; so, instead of a truly terraformed world, he might only have a habitat dome or whatever his initial investment could afford.
- A more wealthy world will have much more developed industries able to produce higher grade consumer goods or plentiful access to rarer elements that can be sold to interstellar conglomerates. These worlds will be able to produce enough wealth to afford a full terraforming job and many of the niceties of modern living.
- The richest resource worlds will be fully developed and industrialized world's able to produce its own high end technologies like starships, nanotech, and terraforming equipment. The down side of these worlds is that they will pretty much all be owned by the rich and powerful mega corporations that are HQed on Urban worlds. The exploitation of these worlds will be so vast and shameless that they are probably terrible places to live as a whole, again forcing the human residents into a habitat dome. In this case, the resident is more likely an employee or slave to the larger corporation; so, he gets very little say in how they will abuse the lands. He's just there to make sure the cogs of capitalism keep spinning.
For vacation worlds, you will see places valued for thier serenity and charm. Here the quality of terraforming will be the most important feature. How clean is the air, how friendly is the wildlife, how comfortable is the weather, how beautiful is the landscape, etc., etc.
When you consider rural real-estate today, a nice vacation home can add a lot of value to rural land, but not nearly as much as and oil field or a giant copper mine; so, it stands to reason that the most expensive worlds will be the super industrialized ones, followed by high end vacation worlds, followed by generally productive resource worlds and more rustic vacation worlds, followed lastly by under developed "family farm" worlds.