Shahidi's genericity conjecture for tempered L-packets

Let $G$ be a quasi-split reductive group, and let an $L$-packet be a finite set of representations associated with an $L$-parameter. A representation is generic if it admits a Whittaker model.

Shahidi Conjecture. For any quasi-split reductive group $G$, every tempered $L$-packet has a generic member.

The source states that this conjecture has been proved for quasi-split classical groups, but does not claim a proof for every quasi-split reductive group. Thus the general formulation remains open in the supplied text.