Ardehali's general Romelsberger-index asymptotics conjecture

Let $\mathcal{I}(b,\beta)$ be a general Romelsberger index, and let the hyperbolic limit mean $\beta\to0^+$ with $b\in]0,\infty[$ fixed. The estimate in question is understood with an $O\big(\beta^0\big)$ error after taking logarithms of the two sides. Ardehali's general Romelsberger-index asymptotics conjecture. For a general Romelsberger index, the estimate is valid asymptotically in the hyperbolic limit, up to an $O\big(\beta^0\big)$ logarithmic error. This is the general case left open after a more precise argument for non-chiral theories with $\Theta=Q_h=0$; it asserts that the integral of the approximate integrand captures the asymptotics despite the nonuniform estimates near the Stiefel diagram.