What is the point of the outfits in Olivia's store?  It feels like I can buy them and see what they look like on the character, but there is no impact to the larger game as far as I can tell.  Am I missing something, is it something we will see later?

Right now these are just unlockable images. When we started development, we didn't design for the character to actually change outfits, and it's too complicated to fix now. Narratively, it's framed as the girls helping Olivia — we're not buying the girls outfits, they're just modeling for Olivia's collection. In upcoming patches, helping her unlock all the outfits will unlock costumes for Olivia herself, and then a separate comic with an animated scene as the finale of that chain.