The comonotone classification conjecture for nullity classes

Let $R$ be a noetherian ring. A function $f\colon \mathbb{Z}\rightarrow \operatorname{Spec} R$ is comonotone if whenever $p'\in f(n)$ and $p$ is maximal under $p'$, then $p\in f(n+1)$. Let $N(f)$ denote the nullity class associated to $f$.

Comonotone classification conjecture. If $f$ is comonotone, then $N(f)$ is an aisle.

This conjecture gives the converse to the preceding result that the function associated to every aisle is comonotone, and would classify the relevant aisles by comonotone functions. The supplied text does not state whether the claim is known or open.