At this point, I'm not expecting any huge revelations to come from it. If Loki gets to chatting with the other Strawhats during this quiet time in Elbaph, maybe it'll come up. But, I think it'll only be explored for maybe one chapter, max. This feels like something that could probably be covered in a montage. Oda might have Nami or someone bring it up in the next few chapters.
Although, if it does come up, I feel like Oda's going to have to twist things around a bit to make that old version of Loki line up in any way with our current version of Loki. They feel like such different characters.
In my head, I imagine that Loki was travelling around the world, trying to get the old Rocks Pirates to reform under him as their new leader. Trying to get the band back together. But, they all rejected him one by one. By the time he got to Big Mom, he might have been desperate enough to try anything, just so this entire journey wasn't a total bust. So he tried to seduce one of Big Mom's daughters, just so Big Mom would at least kind of join up with him. When he realized Lola ran away rather than marry him, that was probably the last straw, and he just gave up on getting the Rocks Pirates back together again. It's possible that he really didn't care about Lola, he just wanted to use her to get Big Mom to join with him. The other giants who were cheering him on in the original flashback might have just been the members of his crew putting on a act.
But, we'll see. Oda might have some plan for this that could surprise us.