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Say the E key is lifted. I could be wrong but I rather doubt that any player's finger leaves that key before the key fully opens.
Therefore the limiting factor is the speed of a finger.
Curve a hand and place all fingertips on a desk top. How fast can you move a single finger up and down. It's not very fast. I think springs probably move keys considerably faster. Maybe marginal for the low, heavy keys of a bari, with their large angular momentum. But then do you expect to hear an ultra fast, low trill on a bari?
Therefore the limiting factor is the speed of a finger.
Curve a hand and place all fingertips on a desk top. How fast can you move a single finger up and down. It's not very fast. I think springs probably move keys considerably faster. Maybe marginal for the low, heavy keys of a bari, with their large angular momentum. But then do you expect to hear an ultra fast, low trill on a bari?