The true happiness that material wealth can't buy is quite beautiful, and I agree with what you say. It's based on my understanding of what you mentioned, which is why I said it like this.
A person who is able to feel satisfied with what he has is indeed worthy of being considered a rich person, because apart from that, that person has not experienced any difficulties in his life. Such a person can always enjoy what he has so far without caring about other people's possessions or comparing them with what other people have.
Because the only thing that most people have is that they continue to compare what they have with what other people already have so that they continue to consider themselves poor. In fact, if only he could still be grateful for what he currently has, of course he should be considered a rich person because he doesn't make many comparisons with what other people have.
Sometimes comparing yourself with others helps you to understand that you still have a long way to go if you are into some kind of investment, if you are a celebrity and so on but that doesn't mean that you won't appreciate the level that you are or what you are doing at the moment but you will always strive to get better and do more knowing that so many people are still ahead of you in your area of specialization.
When what you have can't match what others have it doesn't make you poor rather it helps you to go back and put in more effort because everyone wants to be the best and being the best you must be at the top always.