A classical fluid splitter produces the same patterns of energy redistribution as a Stern-Gerlach quantum device, with rotationally invariant coefficients of correlation between molecular paths. Alternative settings obey a cosine squared rule, leading to Tsirelson-type Bell violations with outcome independence. This is a confirmation of the Correspondence Principle of quantum mechanics, where individual quanta express system-level properties according to Born’s Rule. Kochen-Specker contextuality and Bell Locality are not contradicted by this result, but their interpretation is in question. The formal definition of “Local Realism” is limited to intrinsic particle properties. In contrast, quantum-like correlations require the acknowledgement of ensemble effects on dynamically inseparable propagating entities, even when they appear to operate one at a time.