Fair enough
That's also something which I've also written above - the 4.5 litres I have to draw from my kitchen hot tap before any noticeable rise in temp is detectable is far more than the volume of water contained in the pipe run - so a lot of the delay in hot water arriving at the tap must be due to initial heating of the cold pipes. I doubt that varying the flow rate would make a lot of difference to this, since roughly the same amount of heat would be required to bring the pipes up to HW temp whether that happened slow or rapidly - although, certainly if taken to extremes, slower flow would presumably mean that more heat would be lost from the pipes (as well as used to heat up the pipes)