Existence of nonsoliton ancient flows from nonround self-shrinkers

Let $\Sigma$ be a compact, embedded, nonround self-shrinker in $\mathbb{R}^{n+1}$. An associated-flow conjecture. There exists an associated nonsoliton ancient flow

$$\{M_t\}_{t\in(-\infty,0)}.$$

This proposes that the construction in the paper reflects a general phenomenon beyond the specific rotationally symmetric, compact, low-entropy perturbation considered there. The source gives no evidence that the claim has been proved or refuted.