Well I'm rich and I don't mind saying it. And I'm perfectly willing to pay more in taxes, though frankly I think my money would be put to much better use donated to any one of several charities we support that are highly efficient at what they do. Some people may not want to be called rich because it is often used as a way of raising negative assumptions or accusations (you don't deserve what you have, you must have had unfair advantages, you are out of touch with reality, and the like), or simply as a way of identifying someone as different from the mainstream in ways other than simply financial.
Agree 100% and this thread demonstrates your points.