To say that "the richest consumers buy essentially the same things as the poorest" by using Coke as an example is a significant oversimplification and is cherry picking examples to prove a point. The richest consumers buy plenty of consumer goods that the poorest cannot even dream of buying or even renting.
If there was a truffle-infused Coke with edible 24k gold flakes that cost 10x as much (and actually tasted good) you can be sure pretty much only the richest consumers would be drinking it, and that everyone who couldn't afford it would be doing everything in their power to keep up with the Joneses.
What percentage of "the poorest" own their own home or go on international trips more than once a year let alone owning multiple homes, luxury cars, and private jets?