Trivial-idempotent conjecture for integral quandle rings of semi-latin quandles

Let $X$ be a quandle and let $\mathbb{Z}[X]$ denote its integral quandle ring. A quandle is semi-latin when every right multiplication restricted to each orbit is injective; a finite quandle is latin when both its left and right multiplication maps are bijective. Trivial-idempotent conjecture. The ring $\mathbb{Z}[X]$ has only trivial idempotents. In particular, if $X$ is a finite latin quandle, then $\mathbb{Z}[X]$ has only trivial idempotents.