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Similarly to you, unless the rich people use their money to abuse me, I care more about my absolute than relative wealth. My struggles are not with comparing myself to other people, but with getting what I want. Give me everything I want, and I won't care if you give other people 10 times more.
If you took the wealth existing today and distributed it more flatly, many people would have higher absolute wealth. So I don't see how caring about absolute wealth makes current system fine.
We do have the data point that a capitalist economy provides higher average wealth than a communist one. But that doesn't imply that e.g. a capitalist economy with basic income couldn't provide even more. (Maybe the problem with communism was lack of competition and the micromanagement of everything by political nitwits, not the flatter distribution of wealth per se.)
Do you think what the people around you have doesn't effect what you want?