If you use a flexible hose type shower head and move it from its socket on the wall, then hold the shower flow further down, say, on your thighs or knees, do you find that the water temp rises, (or seems to)?
On am I just imagining it?
I realise that letting the water fall down to the same point on the skin from higher up might cool the flow a little but I can't think that it would make that much difference.
My shower does the same, I think its because the water is hotter in some part of the pipe nearer where its heated and it moderates to normal temperature with the flow, I notice it goes cold for a few moments before it settles down to about 35degrees.
If you lower the shower head it will increase the pressure of hot water from the tank, but will not affect the pressure of the cold water which is from the main. In other words, lowering the show head is the same as rotating the mixer towards the hot setting
Teddio is (presumably) referring to the lowering of the exit water temperature on an electric shower when the rate of water flow goes up. It's irrelevant in the case of this question, which is why I commented the answer was nonsense.