You made this?...I made this

I think that will be either a problem or a interesting plot point because normally Satan is just Lucifer’s other moniker

Yeah, but Satan has taken over as de facto leader of the Sins because Lucifer is busy at the Hotel

Based as hell (unintentional pun)
I think hell should have a more iron fist leader, and I think satan could be one (if he didn’t had anger issues)

Well, this version of Hell is also a metaphor for the American prison system, so I think Charlie's got the right idea

Well, in my depiction of hell, hell is somewhat of a imaginary prison, all sinners, demons and the seven six think lucifer (or satan in the case) is preparing some big revolution against heaven.
He isn’t.
He hates all of hell, he hates the people following him, he thinks as the biggest prisoner of hell.
Even when Lilith tries to cheer him up he answers “Hope in reality it is the worse of all evils.”
I think of him like: a nihilist that is a nihilist because god is real, and there is no chance against winning.
And this is just a funny sitcom in hell I have in mind