You're splitting stupid hairs here over the exact implication of words in a setting where they don't exactly matter. Whether you call it greed, self interest, a desire to amass wealth, etc, doesn't really matter because for the fat part of the bell curve it's all the same.

No.

Greed and competitiveness are two different motivators, and free market capitalism is driven by competition and not greed.

People compete for many reasons and the collection of material wealth is only one of them.