Universality of six-vertex edge fluctuations for \Delta<1

Let $a_1,a_2,b_1,b_2,c_1,c_2$ be the six-vertex weights, let $\Delta$ be the associated interaction parameter, and consider the six-vertex model with domain wall boundary conditions. The preceding theorems concern limiting fluctuation results for extremal molecules in particular parameter regimes. Universality conjecture. Theorems for these fluctuation results should extend, perhaps with different values of constants, to all weights satisfying

$$\Delta<1,$$

and to much more general boundary conditions. This conjecture proposes universality of the six-vertex fluctuation behavior beyond the currently established special cases; the source does not provide a resolution.