The non-factorability conjecture for strongly irreducible shifts on large classes of groups

Let $G$ be a group, and let an SFT be a shift of finite type over $G$. Call an SFT strongly irreducible (SI) if it has the strong irreducibility property, and call an SFT contractible if it has the contractibility property. An SFT is an SFT factor of another SFT if it is the image of the latter under a factor map.

Non-factorability conjecture. On a large class of groups, not every SI SFT is an SFT factor of a contractible SFT.

This asserts a distinction between strong irreducibility and factorability from contractible SFTs beyond the one-dimensional case. The statement is presented as a conjecture, but the supplied text does not specify the class of groups or provide evidence resolving it.