Fair point on the rhetoric: "no regression, no noise, just compounding" overstates it a bit. Individual family wealth does dissipate across generations. The model actually reflects this: η=0.85 inheritance fraction, threshold gating that blocks compounding below ~$20k, and a residual term that captures the noise and bad luck - which your sources are measuring.

The stronger claim of the essa is different from "any given dynasty compounds forever." It's Piketty's r > g: capital returns have systematically outpaced economic growth, so the wealth class maintains and grows its share even as specific families within it churn.