I've seen this argument repeatedly, and I can say with confidence as someone who was raised to have at least a moderate knowledge of the Bible,

Hell is punishment for Satan just as much as everyone else who ends up there. People talk like he's the ruler of hell, when he's just as fucked as anyone else who gets sent there. And because he's a spiteful motherfucker, he wants to drag as many people down with him as possible.
@Kenaron
I feel like "Satan doing God's will" part has been misconstrued from "God using Satan's fuckery against him to have better outcomes," see: the entire book of Job.

The whole book is riddled with contradictions and dubious translations. You can find a version that says Satan is doing God's will or the exact opposite. The strategy is to use whichever is convenient for what you want other people to do, then deny that a contradiction exists.