Actually, both the original games and this takes from religions and The Divine Comedy.
If you think about it, this game takes more stuff from the old poem than the original games.
The world is mirrored by one that's literally Limbo.
Hunter demon could be anger or greed, idk.
Poison can easily translate to the circle of gluttony.
Lilith would obviously be the circle of lust.
Bob Barbas is easily heresy.
Mundus can be fraud or violence.
Vergil could be treachery.
It's really fitting, at least to me.
Kat seems to take the role of Vergil as a literal apparition in Limbo and later takes the role of Beatrice, but in the way the video game Dante's Inferno portrays it (she's more of a muse in the original story). The game seems to play with the whole myth and lore straight imo.