So, monolithic "socialist" and "capitalist" economics are the ONLY BASES of social organization? Man, that's too easily falsifiable. Completely ignores issues such as scarcity & abundance, the role of power - pretty much everything we know about pre-"Wealth-of-Nations" social systems & pre-industrial societies.
Indeed, the so-called "pre-capital" societies are appreciably more difficult to categorically analyze than contemporary societies: while the
means of value production - mostly agrarian in nature - were most certainly collectivized, such means were subordinated to the wishes of the highest class strata, and; contrarily,
currency also existed as a relativizing commodity, but was most primarily a method of exchange, rather than a value creator itself [vis-a-vis being so-called, "money capital", with the technical-rational taxation systems adherent thereto].
In compounding this confusion, however, the more advanced classics [see: Indo-American, Egyptian, Romans and so forth] most certainly had interest and tax systems,
necessarily positioning
capital [whether in money-capital or private property] as the determinant form of self-enlarging value - the key characterizer of capitalistic economies. So, as you have said, characterizing all pre-industrial societies with one broad, negative stroke may be presumptuous; however, I did not - the word "derivative" was meant to precisely encompass a wide spectra of social organizations that, ultimately, can be considered in regard to their determinant method of value production in an aggregate fashion, and the relative position to capitalism or socialism *.
It appears you have analyzed the
distribution of the social capital as the primary determiner of an economic system's label, where I am more primarily concerned with its mode of production; and, further, you seem to be extrapolating the microscopic perspective of exchange to the macroscopic context.
* I say aggregate as value production, distribution and exchange on the level of the individual firm involves microscopic imperatives such as coercion, power, status and so forth that obfuscate their nature; as a result, modes of value production must be considered in the aggregate.