I can't imagine Gibson would take over the career leader mark, he only has 2,526 plate appearances accounted for to come up with that career average. That's well off would should be the minimum to become an all-time leader. Baseball-Reference updated their stats two years ago and he's not even on their low standards for qualifying (3,000 PAs)
If they would allow the National Association to be among Major League stats, Levi Meyerle would take that top spot with his .492 average in 1871.
This is similar to when I tell people the Pirates career average leader is Jake Stenzel. He's #1 on BR, so you have "proof" that it is true, but how do you compare his .360 average over 1,755 ABs to Paul Waner hitting .340 over 8,429 ABs. You can't use 8,000+ ABs for a team leaderboard, barely anyone would qualify all around baseball, but 1,755 seems way too low.
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