Solvabilizer number of PSL2 over fields of characteristic two

Let $G=\operatorname{PSL}_{2}(q)$, where $q=2^f$.

Characteristic-two PSL2 conjecture.

$$\alpha(G)=q-1.$$

This is proposed as a generalization of the theorem for $\operatorname{PSL}_{2}(2^f)$, based on the computational data in the paper's appendix.