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The fact is that the DH improves the hitting (duh), the pitching (who here enjoys watching the pitch get pulled after 5 innings because his team is in a rally in the top of the 6th? Didn't think so), and the fielding (glove first guys at third or left field can happen if you can stick your slug at DH. :) )
But most SABR members hate the DH...and the argument usually boils down to "everybody should have to field a position gosh darnit!!!!"