That is not the way it works. The faster the flow the better the cooling. That is a fact of physics. Faster water allows a much greater amounts of heat to be transferred because the difference in temperature between the heat source and the water is greater. It is hard to explain but because you can feel the heat in the slower water doesn’t mean more heat is being removed. It just means that slow water has more time to heat up and the more it heats up the less efficient the heat transfer.
It isn't that simple. That might be accurate for the head end of the system (picking up heat where the delta is high) but I'm not even certain about that. On the OTHER end (shedding heat), more time may be needed to shed heat from the system as the delta will be much lower.
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