Did the Anunnaki encourage use of the term “Satan,” modeling this after their understanding of Lucifer as a dark being in the spirit realm?

This is an important insight you have noticed that speaks to the nature of the depravity present in these beings. They are modeled on the spirit meddlers so it is logical that the corruption would have the same agenda and trappings as happens with human beings. The same selfishness, callous disregard for others, devious and sinister cleverness to manipulate with endless diabolical schemes to trip the victim up and make them suffer failure, humiliation, and pain in some way, have been experienced in common by the Anunnaki for millions of years. As the figurehead of the fallen angelics, Lucifer is often held out as the ultimate dark force to be most greatly feared. So the stories among the spirit meddlers abound in the powers of Satan and the collective consciousness devoted to that being and all it represents, have many consequences when conjured up through suggestion and by those seeking to manipulate others using the name of Lucifer as a way to entangle the person in a vast prior history of manipulation and misery that resulted. There are huge energies swirling about connected to the spirit meddlers and their would-be leadership. This has been the template for the conduct of the Anunnaki in how they have organized their civilization and what they expect others to do as well. That has infected human culture with the hierarchical government systems in place—the emphasis on reward and punishment and the quest for power representing the ultimate demonstration of capability and entitlement. So the encouragement of the idea of Satan as an ultimate source of evil power was inserted into religion as a deliberate corruption to encourage fear and to give a point of focus for dark thoughts and dark doings, both, to be a kind of trap for people. Those who are victims, to fear it. Those who are perpetrators, to identify with its purported power and seek that for themselves. Both perpetrator and victim become entangled with the enormous reservoir of collective consciousness mounted in its name. So it is immediately harmful in that respect because it is a large body of energy that will complicate one’s life and represent a kind of quicksand to slow the person down and make them more vulnerable, and represent a challenge to recover. Many will be unable to recover who become conversant with the ideas being promulgated, and engage in dark practices in the name of the depraved beings responsible for this ultimate tragedy still unfolding. The karmic consequences of this will be truly enormous, so it is helpful to sort out the history, the reasons why this has happened, what it truly represents as simply distorted thinking, and a surrender to selfishness and absence of love to substitute power and control of others in its place. No good will come of it, only further suffering and karmic debt that will need to be repaid in the future.