Fu and Lin's four-statistic equidistribution conjecture for 2314-avoiding permutations

Let $cmathfrak{S}_n(\underline{23}14)$ be the permutations avoiding the vincular pattern $\underline{23}14$, and let $cmathbf{I}_n(110)$ be the inversion sequences avoiding $110$. For a permutation $cmathit{\pi}$, let $cmathrm{rmin}$, $cmathrm{lmin}$ and $cmathrm{rmax}$ denote the numbers of right-to-left minima, left-to-right minima and right-to-left maxima, respectively, and let $cmathrm{asc}$ denote the number of ascents. For an inversion sequence $e$, let $cmathrm{zero}(e)$ be the number of zero entries, $cmathrm{\max}(e)=|\{i\in[n]:e_i=i-1\}|$, and $cmathrm{rep}(e)=n-|\{e_1,e_2,\ldots,e_n\}|$. Fu and Lin's equidistribution conjecture. The quadruple $(\operatorname{rmin},\operatorname{lmin},\operatorname{rmax},\operatorname{asc})$ on $cmathfrak{S}_n(\underline{23}14)$ has the same distribution as $(\operatorname{zero},\operatorname{max},\operatorname{rmin},\operatorname{rep})$ on $cmathbf{I}_n(110)$. The conjecture was verified computationally for $1\leq n\leq9$ and refines the proposed equidistribution between statistics on vincular pattern-avoiding permutations and inversion sequences.