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Also, I wonder about the OP and how three different barrel configuration could possibly balance at the same point? at three different weights? Highly unlikely...

Balance is a matter of weight distribution. Take a round bar of uniform diameter, it will balance in the middle. Cut a uniform taper on each end & change the length a bit, it will balance in the middle. Add a ball on each end of equal weight, it will balance in the middle. Thus three lengths, three weights but they all balance at the same point. They won't handle identically.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra