No Uniform Linear Threshold for Hook Monotonicity in Self-Conjugate and Doubled Distinct Partitions

We disprove the uniform linear threshold for adjacent-hook monotonicity in self-conjugate and doubled distinct partitions proposed in Conjecture 3 of Ae Ja Yee's 2026 Oberwolfach report. For every fixed integer K>=3, the self-conjugate ratio H_(t+1)(Kt)/H_t(Kt) tends to infinity along even t; for doubled distinct partitions the same holds along odd t when K>=4 is even. More strongly, counterexamples persist at n=alpha*t^2/(log t)^2+O(1) for every 0<alpha