345ash-greninja
Auto-Memories Doll
That wasn't my point. You said they are supposed to be in a relationship game-wise. This is not the game; this is the anime, and right now in the anime, Kukui and Burnet's relationship doesn't extend beyond that of research colleagues. Sure, they could wind up getting into a relationship later on in the series, but they are not in a relationship right now.
Lillie is the focus of the episode, and I expect the focus to remain on her. I don't expect to see that much interaction between Kukui and Burnet, to be honest.
Burnet is coming to Kukui's house after all. This could very well be the start of Kukui and Burnet beginning to like each other/interacting, which could be the initial signs of them ending up being in a relationship in the future.