My two cents
The question itself is an issue.
First let me say I honor "Lucifer" as part of my Grimorium Verum practice where "he" is one of the Thee Chiefs. (I see him as one manifestation Solar Demiurge and the Supreme Archangel of Purgatory but that is my own personal gnosis and mythic framework. )
It's too much to go into here in any depth. If you want a more historical grounding in the operative worldview of the later grimoires, I recommend this video from Glitch Bottle.
--------------------------
Please bear with me. I am wordy. Apologies.
The operative worldview behind later grimoires like the Grimorium Verum is a massive bricolage of Hellenistic theurgy - especially from Iamblichus, Proclus, and the apprach of using ritual to invoke and ascend through daimonic and divine hierarchies. Then in there also is Catholic ritual, demonology, and folk magic like exorcism, purgatory, saints, sacramentals, and the authority -command structure. And Jewish Kabbalah and angelology , Arabic astral magic and alchemy, Hermeticism. Then the Greco-Egyptian texts which were often read as a
prisca theologia by Catholics. And the folk magic currents also shaped the tradition, especially in the early modern period.
The GV itself is a huge folk magic tradition spanning many countries and many centefore appearing as a late 18th century grimpire . The GV we know today can accurately seen as late 18th-century "blockbuster" edition that consolidated and communicated a widespread oral "folk" in textual form. The earlier Italian manuscript from 1636, the French and Italian printed editions of the 18th century, and the Iberian adaptations are all expressions of the same underlying folk tradition, and not just copies of a single original text.
This is a realtively new aademic consensus that has not yet percolated outwards into internet folk magic when they shit-talk grimoires. The GV is printed book , but it is much more, it's the sticky, viscous, spooky Underworld sediment left after centuries of operative practice, not the source from which that practice sprang.
--------------------------
And gnore all that for now, or it will drive you nuts. It's a mind-trap that can keep people reading and not practicing.
I often draw from Paranomal reasaarch as tools for thinking abhout this when I get too much
mythic overload. You know the effect... sometimes called
spritual psychosis these days. It's not pretty.
--------------------------
So Jacques Vallee, in his 1975 book
The Invisible College (1975), suggests the "UFO phenomenon" (Ugh! which is Daimonic, or at least 95%, imho). we are not waves of visitations of little green men from Mars - but with "a control system" for human consciousness that is called now "The Phenomenon," among paranomal and UFO folks.
The Phenomenon, is Harper's Daimonic Reality, and the Aristotle- Aquinas Sublunar realm, and includes demons, angels, the Chupacabra, the Jersey Devil and other cryptids, the Fae, Bigfoot, djinn,tulpas, UAPs, Reptilians, Nature spirits, pixies, gnomes, pagan gods, demi-gods, shadow people, poltergeists and other earthbound spirits, and much more, the whole colorful damininc realm that makes sorcery very fun and very very weird.
It gnerally acepted now among paranormal folks "The Phenomenon" behaves like a human mental-emotional-daimonic thermostat, and regulates our belief by oscillating between revelation and concealment, absurdity and meaning.
Why? I have my theories, but that is not imporant. Suffice to say many mangicans will tell you how quickly it all goes "poof" the moment you try to film, "prove" or ortherwise e demonstate to others all these amazing things you are experiencing when conjuring. These are Secrets, literally.
So in his analysis of the Schirmer case, Vallee quotes a statement made by the entities to an experiencer:
"You should believe in us but not too much."
This line is key, I feel.
Direct, mytical, or religiously unambiguous expression would ruin it all. It would collapse the Phenomenon into a fixed dogma, ending the slow, gradual learning process that the "control system" (ugh!) seems designed to produce. The entities want belief - but only just enough to sustain engagement, and enough to change human culture - but not so much that the phenomenon becomes static, literalized, and therefore powerless.
I see a lot of the daimonic logic of the Grimorium Verum in there.
The names and offices such as Lucifer, Beelzebuth, and Astaroth are not signs pointing to singular entities to be believed in or rejected. They are resonant mythic keys to what I think of as "offices."
But the operative power here depends on the magician maintaining a certain suspended, ambiguous belief. Just enough to conjure as stand up against your Fate for what you truly want out of life- but not so much that the name totally collapses into a fixed, literalist dogma. Hate that stuff.
The GV is not a book of theology. The names function as keys within a tradition that is older, wider, and more operationally useful than any single book could contain. It is a snapshot of a living . uh, very old
Katrupian/Sublunar / Sheldrakian Shared Mythic Reality (gah! I know, i know) made of stories as a place human and non-human minds can meet. .And its also a tradition older and wider than any single book. The names, in my opinion, work because they a nexus of many stories, many offices, many manifestations. Take your pick.
So the GV's daimonic names are part of "the Phenomenon " - but I just prefer The Mystery - that wants you to believe, but not too much. The moment you say "Lucifer IS only X," the current become weaker the more you insit on reducign it all down ahead of time. (You can use it integrate with it later, and not go totally insane after doing the work. ) Myth empowered it but only when kep tas myth and not religion, or negation . When you say "Lucifer is nothing but a symbol," the weakening happens, in my view.
The operative region for sorcery is the Daimonic middleground, where the Grimorium Verum lives, if feel. But then I feel that is true of all this crazy, wild weird stuff stuff we call "magic." I prefer the word "sorcery" (getting laid, paid, and getting even) and air-gap it a bit from more religious concerns (which are fine in other contexts too)