I’m affirming that they intend on worshipping the unmoved mover. If a Satan worshipper said that they worship the unmoved mover and not Satan as Christians understand Him, then yes, but they wouldn’t really be a Satan worshipper then.

Yes, they do, though it is improper worship and they get things wrong about God. If you say Satan isn’t Satan and he’s the unmoved mover, then yes. If I call God “Bob,” I’m still talking about God, I’m just calling Him Bob.