I don’t work that much with either Lucifer or Satan right now, but it would be useful to add into this thread.
I’ll quickly share my experiences as a timeline, leaving out excess ramblings:
● met Lucifer via E.A.'s video Evocation Of Lucifer - Live Ritual which had imagery in it that’d I’d seen in a dream at least 5 months prior to the ritual actually being performed
● a spirit introducing themselves as a familiar of Lucifer’s, and whose seal is similar to the one at the very top of the OP, worked with me on some projects
● met the spirit of a relative of mine who ascended into demonic form after his death, Varnaxis - he had literally “sold his soul to Satan” as a very young boy
● when he introduced me to “his” Satan, the spirit was the same being as the god Set known in ancient Egypt, which Varnaxis also acknowledged. I’d read about that link before on here and mostly discounted the idea, because I don’t personally like to clump spirits together - mentioning this purely to clarify that it wasn’t something I’d been expecting
● came to see through some work that Lucifer and Satan/Set are aspects of the same being, kind of a chaotic “dark” force (Satan/Set) that gives rise to the isolate point of lucidity (Lucifer).
BUT I don’t personally have an agenda to push here, on the contrary I think it’s probably best to work with them both as seperate beings unless you have a good reason to believe otherwise.
This isn’t even a large part of my work, so I’m not an expert and NOT claiming that my UPG regarding this is any kind of definitive final word on the matter. It’s just my own findings to date.