Finiteness conjecture for semibricks and brick-finite algebras

Let $\Lambda$ be a finite-dimensional algebra. A semibrick in $\operatorname{mod}\Lambda$ is a set of bricks that are pairwise Hom-orthogonal. An algebra is brick-finite when it has only finitely many isomorphism classes of bricks; equivalently, $\Lambda$ is $\tau$-tilting finite.

Semibrick finiteness conjecture. If every semibrick in $\operatorname{mod}\Lambda$ is a finite set, then $\operatorname{mod}\Lambda$ is brick-finite, that is, $\Lambda$ is $\tau$-tilting finite.

The preceding results establish several equivalent finiteness conditions for a general abelian category and show implications involving semibricks and brick-finiteness, but this converse is proposed as an open conjecture for finite-dimensional algebras.