The flip-symmetric alternating sign matrix generating-function conjecture

Let $F_n(x)$ be the weight-generating function for flip-symmetric alternating sign matrices, with the exponent recording the number of $-1$ entries in the first half of the columns. This symmetry class is empty unless the size is odd. Let $T_n(x,1)$ be the triangular-array generating function defined in the source. Flip-symmetric generating-function conjecture. It is conjectured that

$$F_{2n+1}(x)=T_n(x,1).$$

This proposes a refined enumeration of flip-symmetric alternating sign matrices by triangular arrays. The source gives no resolution status.