That’s not the only reason someone may think Lucifer & Satan are related, I shared my own experience in this post, because Satan appears to me to also be Set, and Lucifer as another aspect of that black roaring chaotic force:
Never forget as well there are entire pantheons of classical gods, nature spirits, and just random beings to be worked with, you’re not limited to being mentioned in JCI and mainstream thought as the go-tos, there are many more options and they are often better suited to the job.