At the start of the drinking game, when Luke asks his test question ("drink if you've ever sucked a dick"), Kota's initial reaction is to look at you and Asterion. It's likely he just wants someone with authority to step in and veto the question, but I think it could also be interpreted as him being curious about your and Asterion's relationship. Though more damning is that depending on which characters are present, he'll get caught cheating (failing to drink) after a particularly raunchy question.
Also, during the scene where he opens up to you, if you play the Speedrunner route you get a unique response option that elicits a very interesting reaction from him.