As we've seen before, most cover stories end up having some impact in the main storyline, some more than others.
What do yout think it will happen after Bege's cover story? In the last chapter we've seen Lola and Gotti's wedding, so maybe that will have some impact in the Elbaf arc, since Lola was originally supposed to marry Prince Loki. And even though it was just a political marriage, it seems like he really wanted Lola, even rejecting Chiffon who was offered in her place.
I believe this is one of the events that will trigger the Elbaf arc