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.
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.