I always figured in the story that really, since the adversary was the first one banished, he would probably not be so much occupied with the torture of others. Probably be like, "Welcome to the Shit Show." Assuming you even ran into him. Place is probably pretty full by now.
The Christian Hell mythology is contradictory because it's almost entirely fanfiction, and a much more modern fanfiction than you'd think, particularly in regards to Satan's role.
The long and short of it is that, if you assume the Bible is an authority on such things, Hell isn't this major thing where most people end up because they didn't believe correctly, it's not a physical thing at all, much less a thing populated by torturing demons, and Satan wouldn't be in charge, or the Warden, or anything like that. He'd be a prisoner too.
Even in Inferno, Dante depicts him as imprisoned in ice.
If I remember correctly, the book itself refers to a lake of fire, talks of people going somewhere devoid of God's love, and that's just it. It's absolutely bonkers what Dante's Inferno did to Christian lore.
I'm not a Christian, personally, so it's just an oddity to me.
I always find amusing the idea that Christianity started up as fiction and someone went and just straight up set it up as an MLM and people have been running it to this day without being sure how it even started or why but reaping the benefits anyways