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<pi^2/24, with the necessary parity. Consequently any eventual threshold has a corresponding logarithmically subquadratic lower bound. The six-page proof combines credited exact hook formulas, classical partition asymptotics and an elementary diagonal-hook injection. Exact integer checks and source files accompany the manuscript. The known fixed-t eventual inequalities and the proved opposite parity cases remain valid. This is a complete negative answer to the explicitly t-independent linear assertion represented by UnsolvedMath OWR-14299904-009, not a claim that all hook monotonicity statements are false. This is an unrefereed preprint developed with AI assistance, without formal proof-assistant verification or an absolute-priority claim.