Idempotent conjecture for integral quandle rings of semi-latin quandles

For a quandle $X$, its integral quandle ring is $\mathbb{Z}[X]$, and an idempotent is an element $e$ satisfying $e^2=e$. The idempotents $0$ and the basis elements of $X$ are called trivial idempotents. Idempotent conjecture. The integral quandle ring of a semi-latin quandle has only trivial idempotents. In particular, the integral quandle ring of a finite latin quandle has only trivial idempotents. Computer-assisted checks for quandles of order less than seven support this claim, while the general statement remains open.