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Dave SAs for stats, Tinker never even led the Cubs in hitting, Evers did once and Chance 4 times; Chance twice led the team in RBIs, Tinker once, Evers never; Chance is the ALLTIME Cub stolen base leader (304), Tinker 3rd...other than SB's none of the three appear in the top ten leaders of any major Cub offensive category! Career season high for HR's both Tinker and Chance an amazing 6...
Chance gave up the game because his eye-sight was shot from being beaned so many times, it's well known that he collapsed on the field frequently from headaches and temporary losses of vision and blackouts.."The Crab" Evers of course suffered the much publicized bouts with depression that ended with his nervous breakdown..he and Tinker did not even speak to each other from 1909...
All three notably were popular team managers, the most successful definitely Chance...some credence to his managerial success certainly carried some HOF weight, as did his overall statistics. He merits the Hall. Tinker and Evers...one has to wonder!!
I would venture to guess the 4 cards for Tinker may have been based on player popularity and fan appeal, by far he was the favorite of the three. Evers, not Joe, was team captain during the majority of the era..