Chloe Decker's dad doesn't die in the comics. The storylines don't include that event. Maybe there's some confusion with a different version or interpretation, but in the original comics, he remains alive throughout.
In some fanfictions, it could be a powerful angel. Since Lucifer was an archangel, an equally powerful angelic being might be seen as his mate, perhaps one with a unique connection to him from before his fall.
Since we don't have more details about 'Becky's dad adult stories', we can only guess about Becky's dad. He might be a father figure who experiences different events and has relationships with other characters in the stories. Maybe he is a kind father, or he could be facing some challenges that are central to the plot of the stories.
The dad of Peacemaker in the comics is Auggie Smith. Auggie's presence and actions have played a crucial role in shaping Peacemaker's journey and personality.
The Lucifer comic was written by a team that includes Neil Gaiman and others. Neil Gaiman's contribution was significant in shaping the initial storylines and characters.