I have now implemented the LED driver , which regulates its input current, with LT6016.
The LT6016 supply is 9v when the led driver is enabled, but when the led driver is disabled, the LT6016 supply rail may go below the battery voltage, to which its inputs would still be connected, but thanks to K.I.S.S., a "over-the-top" amp has been used, and this can easily handle input voltages being well above the voltage on its supply pin...the ltspice simulation and schem show the led driver regulating its input current to 1 amp.