Whatever Satan was fighting for, it was something that he managed to persuade a large amount of God's supporters to join him in fighting for.
That lack of clarity creates a blank canvas to suggest your own reasoning. Certainly, in the majority of cases where a significant number of people fight back against an uncompromising and absolute authority, they are fighting against the coercive control involved.
But that doesn't really matter because Satanism isn't really about Satan in the same way that Christianity isn't really about God.
This story has always reminded me of the story of Prometheus. Both were punished by gods for their gifts to humanity.
In some sense it is necessary theologically that Satan (and his followers) exist if a dialectical approach is taken. That view goes back thousands of years, to before Christianity, with the eternal struggle of Ahura Mazda and Angra Mainyu.
Biblical content about Satan is extremely sparse so about 99% of what people think they know about Satan comes from fiction.
To your point, I wonder how much Satan plays a part in each of these classes of writings.
The first two chapters "The First Book of Adam and Eve" and the second, directly deal with their conflict with Satan.