This is correct, however it's not due to an increase in water flow, just velocity...they are different. What's special about impingement is that it creates a thermal boundary layer (like a thin layer of highly turbulent decelerating water) governed by convection. Convection is more efficient at small-scale heat transfer in this thin layer than conduction with a normal, laminar flow.
Furthermore, and I'm not entirely familiar with flow dynamics, a higher Reynold's number (velocity, pressure, density) translates to higher heat transfer with conduction or convection... right?
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