I find absolutely shocking that you say what I claim is false, and your justification is “ Hunger is what you feel when your ghrelin levels rise.”.
Ghrelin is one of many ways to feel hungry, and also has many other functions: also participates in regulation of reward cognition, learning and memory, the sleep-wake cycle, taste sensation, reward behavior, and glucose metabolism, for example. The exact mechanics of hormones in the body is far from being completely understood.
Independent of that, the fact that you know the name of an hormone, does not even remotely make my claim false. The question is “what triggers the ghrelin?”. Part of the answer is circadian timing (what I mean with “I would like to eat”) but also the body need for energy (start using reserves).
So yes ghrelin is involved. So what?