Bipartite Graphs and Matchings · Challenge problem

Men $A,B,C,D$ rank women $W,X,Y,Z$ cyclically: $A\!:\!W,X,Y,Z$; $B\!:\!X,Y,Z,W$; $C\!:\!Y,Z,W,X$; $D\!:\!Z,W,X,Y$. Women rank men cyclically too: $W\!:\!B,C,D,A$; $X\!:\!C,D,A,B$; $Y\!:\!D,A,B,C$; $Z\!:\!A,B,C,D$. By how much does the sum of the men's ranks of their partners (under men-proposing deferred acceptance) differ from the sum of their ranks (under women-proposing deferred acceptance)?