Full dimension conjecture for uniformly approximable non-Bad numbers

Let $a,b,r,s$ be the fixed parameters of the $(a,b,r,s)$-approximation setting, and let $\operatorname{Bad}$ denote the set of badly approximable real numbers. Consider the set of real numbers outside $\operatorname{Bad}$ that admit a uniform $(a,b,r,s)$-approximation with exponent $1$. Full dimension conjecture. The set of real numbers which are not in $\operatorname{Bad}$ and which admit a uniform $(a,b,r,s)$-approximation with exponent $1$ has full Hausdorff dimension. The conjecture asks for a large fractal set of well-approximable numbers satisfying a Dirichlet-type uniform approximation property; the source presents it as an interesting question related to the preceding theorem, with no resolution stated.