  A compact space $Y$ is called homeo-product-minimal if given any minimal
system $(X,T)$, it admits a homeomorphism $S:Y\to Y$, such that the product
system $(X\times Y,T\times S)$ is minimal. We show that a large class of
cofrontiers is homeo-product-minimal. This class contains R. H. Bing's
pseudo-circle, answering a question of Dirb\'{a}k, Snoha and \v{S}pitalsk\'{y}
from [Minimal direct products, Trans. Amer. Math. Soc. 375 (2022)].
