While there is another definition that state...covetousness
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1. Excessively and culpably desirous of the possessions of another. See Synonyms at jealous.
So, we learn, that in this word, the term can be used for greed and also it can be used for wanting the possessions of others.2. Marked by extreme desire to acquire or possess: covetous of learning.
This can be verified by looking at the definition of greed ...
Which more or less matches definition #2 of covetousness.greed (grd)
An excessive desire to acquire or possess more than what one needs or deserves, especially with respect to material wealth: "Many . . . attach to competition the stigma of selfish greed" (Henry Fawcett).
However, greed's definition does not match #1 of covetousness, so they are not fully interchangable words, only partially. Ultimately, this means that barb misapplied the term.
its much easier to know what a word means if you look at its definition rather than using a thesaurus.