The authors of "Step-down Rectifier..." state that their circuit functions as an approximate DC current source when the input RMS voltage is very much greater than the (DC) output voltage. In the case of my circuit, the output and input voltages are about 43V and 120V. That means, I think, that U1 is needed to keep current thru the string of LEDs properly regulated.You have 2 constant current arrangements in series - all the volt-drop will be imposed on whichever regulates at the lower current.