Squarefree-value conjecture for polynomial values

Let $f(t)\in\mathbb{Z}[t]$ be a separable polynomial such that $f(t)\ne a(t)b(t)^2$ and $\operatorname{deg} f\geq 1$. Let $\mu$ denote the Möbius function and let $\rho_f(m)$ denote the number of residue classes modulo $m$ satisfying $f(t)\equiv 0\pmod m$. Squarefree-value conjecture.

$$\sum_{n\leq x}\mu^2(f(n))=x\prod_{p\geq 2}\left(1-\frac{\rho_f(p^2)}{p^2}\right)+o(x).$$

This predicts an asymptotic density for squarefree values of a broad class of separable polynomials. The surrounding discussion identifies the result as matching conditional consequences of the $abc$ conjecture, but the supplied text does not establish its resolution.