Shi's first-passage tail conjecture for integrated stable processes

Let $Z$ be a Lévy $\alpha$-stable process with $\alpha\in(0,2]$, and define its integrated process and first-passage time by

$$A_t=\int_0^t Z_s\,\mathrm{d}s,$$ $$T=\inf\{t>0:A_t=1\}.$$

Shi's conjecture. Suppose that $Z$ is symmetric and that $\alpha>1$. Then

$$\mathbb{P}[T>t]=t^{-(\alpha-1)/(2\alpha)+o(1)},\qquad t\to\infty.$$

The paper says that this conjecture contradicts the authors' earlier announced result, which contained a hidden error. The source does not provide a resolution of this precise asymptotic conjecture.