Existence conjecture for very good Sylow twists

Let $(\mathbf G,F)$ be a classical group with regular number $d$, and let a very good Sylow $d$-twist mean a Sylow $d$-twist having the maximal extensibility property described above. Very good Sylow twist conjecture. There exists a very good Sylow $d$-twist of $(\mathbf G,F)$ for any regular number $d$ of $(\mathbf G,F)$. This conjecture would provide the maximal extensibility needed in the proof of the McKay conjecture for the relevant finite groups of Lie type. The supplied text does not state whether it has been resolved.