In my experience, Astaroth is a demon, in whose presence you feel masculine energy, coldness, restraint, and the abyss. There is no feeling of female energy at all. It feels like you are next to a very serious, busy and rather secretive man. As he himself says, “I am not Astarte,” so do not mix them up. According to my unconfirmed gnosis, he has a fiery nature and his other name is Mannatar (black fire).
In terms of his origin, I would say that he is either the ancient deity Astar, which in very, very ancient times was the embodiment of the morning star of Venus (and the evening embodiment had a female hypostasis) and was independent from Astarte. Or it has Indo-European “roots”. But on this part, I can not say anything with accuracy, since I am in the process of my own research on the appearance of Astaroth in the life of ancient civilizations.
If talk about Astarte, then I felt her energy as the energy of a serious and knowledgeable “matron”.
But in fact, her energy is multifaceted and complex and, apparently, it depends only on her who and what aspect she decides to show. In general, I would characterize this energy as “multi-faceted femininity”.
As for Hell and stay in it, it really was one of the ways of limiting people from worshiping other deities and spirits in ancient times, since they, with the advent of monotheistic religions, were gradually demonized.
P.S. And if you want to “dig” deeper, either ask Astaroth himself, or study mythology.
Theonym goes back to ˈAstar, which in pre-Semitic time meant the planet Venus in one of two aspects, transmitted, respectively, as ˈAs̱tar (morning star, male character) and ˈAs̱tart (evening star, female character). In West Semitic and South Arabian mythology, this division has been preserved; in the East Semitic environment (the ancestors of the Akkadians), both aspects merged into a single deity that retained the characteristics of both sexes (see androgyny): on the one hand, Ishtar is the deity of war, on the other, sex and procreation; while the word ˈasˈtar among the Eastern Semites meant a goddess in general.
Some information for thought. So the story with Astaroth may be “much more interesting.”