Actually, you could be right about this. I thought that effective end mass was highly influenced by the last 1/3rd of the shaft, where the other 2/3rds are negligable. I would think that by introducing your bridge hand to the last 1/3rd, you would be modifying the end mass slightly via changing the resonant frequency of the end of the shaft. Dr. Dave showed that squirt changes as you move the pivot point.
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I think you are misreading what Dr. Dave is saying about the pivot point.
Be that as it may, unless your bridge hand is supremely rigid (like made of metal, then the bridge hand has little influence on the effective mass in the collision. (bridge length is not the same thing as the pivot point, no matter how many people try to redefine the terms).
The human hand has too much compliance to add mass to the collision.
The effective end mass is a result of tip/ball contact time and rate of transverse wave propagation down the shaft, as well as real world losses.
Freddie