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Good question. I think it does, but don't know if for sure.
My GG catcher lead my team in WAR last season while being 10th in WRC+. He did lead the league in framing and as noted won the gold glove.
Slash line was .275/.345/.370. 95 wrc+, ops+ 91, 3.3 war.
second in WAR on the club
.288/.334/.506. 30 HR, 118 wrc+, 119 ops+, 3.0 WAR. Played an average 1b, think in the lineup for hitting not his glove.
8 guys were above 100 in wrc+.
I do use the saber stats, but have never dug into the formulas to know if my assumption based on this catcher's stats hold water. I have seen many other players with limited batting skills post some good WAR numbers and, like my C, assumed it was due to their great defense.
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