The alternating sign matrix generating-function conjecture

Let $A_n(x,y)$ be the weight-generating function for $n$ by $n$ alternating sign matrices, where a matrix with $r$ entries equal to $-1$ and its top-row $1$ in position $s$ has weight $x^r y^s$. Let $Z_n(x,y,1)$ be the generating function defined from descending plane partitions as in the source. Alternating sign matrix generating-function conjecture. It is conjectured that

$$A_n(x,y)=Z_{n-1}(x,y,1).$$

This would identify the refined enumeration of alternating sign matrices with that of descending plane partitions, and would imply the expected correspondence between descending plane partitions with parts at most $n+1$ and $(n+1)$ by $(n+1)$ alternating sign matrices. The source gives no resolution status.