Lots of uses for the wheel, if you have any agriculture. Agriculture in most of North and South America was not well developed. They had very few domestic animals, unlike Eurasia, or even Africa.
You don't need to be greedy to use wheels. You just don't want your children to die of starvation in the winter.
Americans before the European came (and for quite a while after) lived very brutal and short lives.
There is historical truth in what you say here. They did not have beasts of burden so the need for the wheel just wasn’t there because there was no practical tool to pull it. They did have very wide spread cultivation in South America but even if they had beasts of burden bigger than the llama the terrain would not have allowed it because to build the infrastructure would have burned more calories than they could have consumed.
While they did build roads (more like trails) over this terrain it was only practical because of the climbing abilities and agility of the camelids. They still do not build roads over most of this terrain because it’s not practical. Something to always remember is that early survival was a very fine balance of calorie profit or loss. Some impractical concepts just were not worth the extra expenditure of calories so there was just no need for it.
A reality I would like to point out is that most Europeans lived brutal and short lives before they came here too. :) .