If the water is moving, its not being converted to heat.
and the very little friction between the water and the lines is greatly overcompensated by the smallest of radiators.
point being: if you have constant flow given a constant energy source, the heat to kinetic energy ratio would also be constant.
and the radiator takes care of any friction generated heat in the lines.
I do agree however that without a radiator, the water would heat to a certain critical temp and would equalize at whatever temp radiation could release through the lines into the air.
I also agree some heat from the pump is radiated into the water from its contact in the pump.
ex. on my system with my computer off. with my pump running my water temp equalizes at about 33C with no fans blowing on my raaidator. since the water is still flowing, you cannot say that all the energy a pump consumes is turned to heat.
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