On: No, that is not a competitive advantage

[alextp]

To be pedantic, most people usually mean "median" (or a robust estimation of the mean without considering outliers) by average, and in samples from a continuous distribution it is necessarily true that ~50% are above/below the median.

[HilbertSpace → alextp]

You are not being "pedantic". You are being wrong.

There's no reason to assume that commonly mean means median or that there are enough properties to make them equal.

Besides a claim about "most people" without some solid data is poor support for anything.