No idea what "food noise" means to each person, but I'll share the following observation:
(This is all pre-GLP1):
To me the most common sensation that I might call traditional hunger is when you're on a mixed-macro diet, that would usually come on if I hadn't eaten in a certain number of hours (maybe 4 or 5) and it was getting close to time for the next meal. This could intensify into "hangry."
With low-carb, the volume went way down for traditional hunger, but I'd still feel a non-hunger compulsion to eat (like my subconscious was nudging me towards doing so).
When I got into multi-day fasting, yet another sort of nudge would occur. It wasn't like the nudge I just described, but I'd all of a sudden get interested in binging different steak preparation techniques (as an example) on Youtube, as if my subconscious was trying a last ditch effort and screaming "hey, think about food and go eat something, you dummy!"
I think the most interesting takeaway there is that different sorts of sensations come in at different points and "hungry" really fails to appreciate the full range and how the different ones hit you differently.
To me a more interesting question was usually what it meant to be stuffed vs full vs satiated and what food combinations might trigger those different things and what it might all mean. Can't say I really answered that, but I kind of feel like "food noise" better fits in there, since it's a state where you're not hungry, but at the same time you're not satisfied either.
If you were a horse that was sodium deficient, you might feel compelled to start licking a salt lick (assuming one is nearby), whereas if you'd recently topped off on sodium, you might find that salt lick less interesting. I wouldn't be surprised if as food is more heavily engineered and delivered in combinations very different from what's traditionally available in nature, if that doesn't throw a wrench into things. For example, if I'm eating vegetables grown in magnesium-depleted soil (which is probably most farms), it wouldn't be surprising if my body realized it was low in magnesium, but not really sure what exactly to nudge me towards putting in my mouth to correct that. Same logic would apply to tons of other nutrients. I find myself wondering if food noise is sometimes downstream from an effect like that.
