AHVL
I have some suggestions for the game if you don't mind. You can ignore these, just my own opinion.
If giving player a choice to change name kinda breaks the lore then why not treat the player inputted name as sort of an alias for when Luci is among the mortals while other angels/demons and gods or goddesses or any other mythical beings know who he really is. I mean surely there are others beside Luci and Lux?
If you still wanna use it in the human world then why not make it as some sort of a nickname like he is The Lucifer/Devil of the entertainment industry (or whatever the agency is), because you can get anything want if you sell your soul to him for example. Hence why Luci own the best agency in Hollywood. Also you can make him reveal who he is to humans closest to him or slave like Ginny (will she be one?) for example when he is done with her.
This next one is just me nitpicking
Devil's Agency... is this really the name of the agency? there are so many better choice and creativity for the best agency in Hollywood, own by LUCIFER THE DEVIL himself!
Isn't the devil like a trickster, that uses his cunning to led the people astray while mocking he gods. In this game you maybe can use a play on word for the agency name/slogan etc,. that will leads all kinds of talent to the agency.
Or maybe since this is a porn game use the lust aspect of the devil? maybe take something from the bible and pervert/sexify it (don't ask me, I'm a sinner so I don't read the bible
).
Tbh giving it the name, Lux (like the nightclub, and yeah maybe not so original) even though simple IMO sound so much better than "Devil", it personify as one of the deadly sins, and also since this Lucifer lust incarnated and how is he
fond? of Luxuria in the intro.