Martinez and Savage's Wilf-equivalence conjecture for inversion sequences

Let $\mathbf I_n(\rho_1,\rho_2,\rho_3)$ denote the set of inversion sequences of length $n$ avoiding the indicated patterns or relations. Martinez and Savage's conjecture. For $n\geq 1$, we have

$$|\mathbf I_n(>,\neq,-)|=|\mathbf I_n(<,>,\neq)|.$$

This conjectures a Wilf-equivalence between the two avoidance classes; the supplied source does not indicate whether it has been resolved.