We prove that if the frequency of the quasi-periodic $\text{SL}(2,\mathbb{R})$ cocycle is Diophantine, then each of the following properties is dense in the subcritical regime: for any $\frac{1}{2}<\kappa <1$, the Lyapunov exponent is exactly $\kappa$-Hölder continuous; the extended eigenstates of the potential have optimal sub-linear growth; and the dual operator associated with a subcritical potential has power-law decaying eigenfunctions. The proof is based on fibered Anosov–Katok constructions for quasi-periodic $\text{SL}(2,\mathbb{R})$ cocycles.