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Just to check my theory. I measured my arm reach over my head. It was 32 inches. Adding that a glove web adds another 8 inches at least. That makes 40 inches. Add a 22 year old should be able to jump 36 inches and we are well past the 5 foot threshold.While I agree with what your saying here about needing a good 1st baseman, Truth....but you'd probably need close to a standing 3 foot vertical jump to snag a throw 5 feet over your head. MJ is his prime might be able to get up there....not seeing many MLB guys who can though.
Jump taken from the NFL vertical jump. 36 was in the norm.
Regardless.....putting a fielding liability at first is a recipe for disaster.