I got the below aditional question:
I have another technical issue regarding the LM5119:
In my design I have an auxiliary 8.8V which is always valid (even before the LM5119 turns on).
I'm using this Auxiliary voltage to power the LM5119 VCC pin through a schottky diode.
My question is whether I can eliminate the additional schottky diode between VCC and HB pin; that is connect the 8.8V through a diode to the VCC and the HB pins together and disable the internal VCC regulator by permanently pulling it above 1.25V.