Wait a sec-
Do these fuckers KNOW each other!?
In the midst of yet another Hazbin re-watch and my wife goes, "These two are just SO overly exaggerative and hostile with each other here that it kind of feels like they know each other, but they can't let Charlie or the others know that they know each other and they start a dick-measuring contest in who can keep the secret better while also trying to make it harder for the other one to keep up with the act." The theory completely changes the perspective of Lucifer coming to the hotel and what happens in "Hell's Greatest Dad".
Lucifer enters the hotel ignoring and literally dancing around Alastor (who is fucking standing RIGHT THERE). He goes as far as to happily greet the hotel pets without ever even acknowledging his presence. When he DOES offer any kind of acknowledgment or thoughts with the hotel its with his disgusted critiqment of Alastor's bar.
Introductions take place, and I've always been caught off guard by just how immediately these two just know how to get under each other's skin and just how over-the-top this exchange feels. There's no way the King of Hell has not heard of Alastor, who has established himself in Hell by toppling great Overlords - almost with ease - then publicly broadcasting their screams for all to hear.
Next, Charlie and Lucifer have a small moment where Lucifer just looks so happy to be with his daughter again. He looks so proud of her... I'm left wondering why they ever were estranged to begin with. Charlie let's him go and praises Alastor for all of his help with her dream and the hotel. His reaction to this is instant. Is something keeping Lucifer from Charlie and in helping her with her goals? It seems he had to be directly invited to the hotel by Charlie for him to even make an appearance despite him having told her that "anything within his power was HERS for the asking". Alastor makes a point of emphasizing this peculiar absence when he sings, "WHO'S been here since day one!?"
Alastor is there to help Charlie with the hotel; he "fulfills her odd requests" and protects it when he has to. Lucifer isn't happy with this arrangement but he also seems somehow unable to get more involved. My wife also points out that Lucifer only makes an appearance to the battle in the finale after Alastor disappears. She believes Lucifer is who he is tied to in making a deal with and when Alastor sings, "...once I figure out how to unclip my wings, guess who will be pulling all the strings?" he's referring to needing to find a way out of whatever constraints the fallen angel has on him. [Which he may have found in making his deal with Charlie...] I kind of hope that if there is something more going on with this, Lilith is involved and both parents are working together with the use of Alastor's power to obtain some great goal.