No, it has very practical ramifications. You go tell someone you make more or less what he makes, he is satisfied. You go tell someone you make a shitload more money than he does without having a boss while he slaves away for peanuts in comparison, he hates you forever. And makes sure others know too, to hate you together.
So, unless you're living outside of your local community (say, you're travelling all the time, or you don't socialize with locals), what you lead people to think about you can have future consequenses - with actions, not "feelings". It's better for others to think you're "one of the boys".