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Braun is not significantly better than Hall. Hotter and luckier doesn't mean better.
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Yes, Hall is running bad and Braun is running hot. Yes, they have similar K and BB numbers and batted ball numbers (i.e. similar LD, GB and FB numbers).
But the quality of Braun's batted balls, particularly his flyballs, are different. Braun's flyballs have been hit better than Hall's and tend to go further. Braun's Home runs average @ ten feet further than Hall's, and he has hit more of them.
Hittracker Hall
Hittracker Braun