Uno's conjecture on representation types of Hecke algebras

Let $K$ be a field, let $q\in K$ be an invertible element with $q\ne 1$, and let $(W,S)$ be a finite Weyl group. Let ${\mathcal H}_q(W)$ be the one-parameter Hecke algebra associated to $W$, with quadratic relations $(T_s+1)(T_s-q)=0$ for $s\in S$, and let $P_W(x)=\sum_{w\in W}x^{l(w)}$ be its Poincaré polynomial. Assume that $K$ is a splitting field of ${\mathcal H}_q(W)$. Uno's conjecture. The algebra ${\mathcal H}_q(W)$ is of finite representation type and not semisimple if and only if $q$ is a simple root of $P_W(x)=0$, equivalently, if and only if $(x-q)^2$ does not divide $P_W(x)$. The conjecture gives a $q$-analogue of the criterion for a group algebra of a finite Weyl group to have finite representation type. The source paper states that it proves Uno's conjecture for all Hecke algebras of classical type; its status is otherwise not resolved by the supplied text.