Well, to an extent, yeah, but they stayed pretty committed to the murder-of-the-week procedural stuff for most of the run too. I often wished they'd lean more into the supernatural stuff, but they didn't really do that until the show moved to Netflix.
Also, like far too many case-of-the-week shows, Lucifer was very committed to the formula that every investigation just happened to resonate exactly with whatever personal issue Lucifer was dealing with that week. Although in this case, it could perhaps be rationalized as God manipulating events to teach Lucifer life lessons.
What bugged me about it was that it was so completely Biblical, essentially saying all other religions were wrong. I would've preferred it if they'd built a more inclusive mythology, saying all religions were different metaphors for the same thing.