Classification conjecture for Ricci shrinkers with weakly PIC

Let $(M^n,g,f)$ be a Ricci shrinker with weakly PIC. A Ricci shrinker with weakly PIC is expected to satisfy the following classification: Classification conjecture. $(M,g)$ is isometric to a quotient of $N^k \times \mathbb{R}^{n-k}$, where $N$ is a compact symmetric space. This conjecture is motivated by the known result for four-dimensional Ricci shrinkers with weakly PIC and is also related to work of Brendle and Eichmair. Its resolution in general dimensions remains open.