yes, money is the mechanism we've defaulted to for measuring value, but economists admit that our economic systems, even capitalism, don't yet (properly) price everything that's valuable to humans (as you note).
a charitable reading of the parent comment would find they're mainly against centralization of authority rather than how to value intangibles or how to engineer fairness into economic systems.
but their first assumption that "'socially valuable contributions' [...] implies there's some sort of authority" is wholly unsupported. capitalism, for example, highly values rational resource distribution, but there is no central authority dictating that distribution.
in any case, the crux of the problem is that with concentration of wealth comes concentration of power. we're all very wary of concentrations of power, for good reason. we need to decouple that pairing for a more stable and balanced society.