Chowla's conjecture for polynomial values

Let $f\in\mathbb{Z}[x_1,\ldots,x_h]$ be a primitive squarefree polynomial, let $\mathcal{A}$ be an arithmetic progression, and let $\mathcal{A}(X)$ denote its points of norm at most $X$. For a nonzero integer $n=\prod_p p^{\nu_p(n)}$, define Liouville's function by $\lambda(n)=(-1)^{\sum_p\nu_p(n)}$. Chowla's conjecture. For every arithmetic progression $\mathcal{A}$,

$$\sum_{{\rm v}\in\mathcal{A}(X)}\lambda(f({\rm v}))=o(X^2).$$

The conjecture predicts cancellation in the Liouville values of a polynomial along arithmetic progressions. The source gives no resolution and introduces it as a separate conjectural input.