Lamzouri's bias conjecture for races of fixed distinct integers

Let $r\geq 3$ and let $a_1,\ldots,a_r$ be distinct nonzero integers. Define $\mathcal{Q}_{a_1,\ldots,a_r}$ to be the set of positive integers $q$ such that the $a_i$ are distinct modulo $q$ and $(q,a_i)=1$ for every $1\leq i\leq r$. Write $\{k;a_1,\ldots,a_r\}$ for the associated prime-number race. Lamzouri's conjecture. For all positive integers $k\in\mathcal{Q}_{a_1,\ldots,a_r}$ such that

$$k>2\max(|a_i|^2),$$

the race $\{k;a_1,\ldots,a_r\}$ is biased. The conjecture predicts eventual bias for every sufficiently large admissible modulus in this family. The source attributes the question to Lamzouri and gives no resolution status.