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For polo, I'd expect changes to the bike dynamics when accelerating from near-zero and at spinout to be more important.
@n3il You're not particularly short, so if you're worried about pedal strike, fit narrower slimmer pedals or get a frame with a higher BB. Or fit bigger tyres.
If you keep gain ratio constant, you'll do the same speed, within any practical range of crank lengths. There might be marginal differences from the following sources:
If 2 didn't cancel out 1, and/or 4 cancel out 3, there would be a clear choice between long cranks/low cadence and short cranks/high cadence for racing cyclists :)