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kind of reposting this because I had a double post and edited one of them only to find the other gone...
A part of it could simply be that the onfield production is not the only accounts for GMs. The average fan watches league leaders for their guys being among RBI, HR, SB, but not fielding%, UZR, etc.
Those stats gain the team notice more than maybe they should. But that also makes them valuable in an off field way that a fielding Bible award just won't make up for.