Answer:
In the Poem/Story by Dr. Seuss, there were two types of Sneetches. Star bellied Sneetches and plain bellied Sneetches.
For some reason the Star Bellied ones felt they were more superior than those who didn't have stars upon their thars even when the star was nothing of significance. [See line 6-10]
The stars in the story/poem is similar to things like race, religion and gender identity. In the hierarchy of things, they do not add any value or help to solve any problem. It forms the basis upon which most of the division in the world is founded.
For instance, the recent pandemic was not selective of colour, race, religion, or gender. Such are the principles of life. They respect no one. If obeyed they make one a better and more successful person.
In the end, after both types of Sneetches had serially changed their "Star Bearing" status severally, they came to realise that it didn't mean a thing and reconciled their differences. That was of course after much of their wealth had been spent. Both types of Sneetch had been gullible enough to keep spending their money in the chase of a status that would make one superior over the other until they lost it all. [See Lines 85-92]
If the presence of the star was of any importance or unimportance, it should have reflected in their ability to quickly discern who the real "star bearer" was - the McBean.
Cheers!