The (a,t)-deformed F_K interpolation conjecture for knots

Let $K\subset S^3$ be a knot. Let $F_K(x,a,q)$ be the three-variable function from the $a$-deformed $F_K$ conjecture, let $F_K(x,a,q,t)$ be a four-variable refinement, let $\hat{A}_K(\hat{x},\hat{y},a,q,t)$ be the quantum super-$A$-polynomial, and let $\mathcal{P}_r(K;a,q,t)$ be the coloured superpolynomial.

The (a,t)-deformed $F_K$ conjecture. There should exist a four-variable function satisfying

$$F_K(x,a,q,-1)=F_K(x,a,q),\qquad \hat{A}_K(\hat{x},\hat{y},a,q,t)F_K(x,a,q,t)=0,$$

and, as an $\hbar$-series,

$$\log F_K(e^{r\hbar},a,e^\hbar,t)=\log\mathcal{P}_r(K;a,e^\hbar,t).$$

This conjecture seeks a $t$-deformation of the preceding $F_K$ invariant that specializes at $t=-1$ and captures superpolynomial asymptotics. The supplied source gives no resolution status.