Your body will adapt to whatever is "normal" in the long term.
You can explain "normal" in many different ways, but the simplest is pretty close - it's whatever you are used to.
I personally dislike the phrase "liver dump" - but many people use it, and it's clear what it means - your liver is generating glucose from ...well, a few different ways.. but it's only "doing" what is normal - trying to get your blood glucose to a normal level as perceived by your pancreas, or your brain (which has another way of determining whether it thinks energy, usually meaning blood glucose, is low, and in a fight, it trumps the pancreas).
Depending on what you are aiming for, you can either eat something (or take certain supplements - it's not all necessarily about food, and not necessarily about glucose) to calm the troubled organ in question, or longer term; you can come up with a plan to re-train what your body considers normal.
There isn't a right answer, and everyone is different - both in what works and what you are aiming for, but having done a little of the longer term thing, I can be quite happy and not feeling ill or even hungry for a day and a half with no food - it is possible to be very low in blood glucose and for your body and brain to have plenty of energy - but this isn't something that just happens immediately, and needs some planning.
[and to be clear, I only dislike "liver dump" because the liver is awesome and should have a better rap than it does]