In chapter 13, when looking at his reflection, no matter what hes wearing it'll put him in the modern clothing & keep him in it until the next time you're able to manually change it. It's not game-breaking, thankfully, but I would've liked him to be wearing my chosen clothes during the scene later in the chapter

On this subject, I just noticed that in chapter 15 when Hermes gives you the letter Asterion image appears to be mirrored. I wasn't sure the first time I played it because the arm band was on the wrong arm, but this time he had the MOO! shirt and it was clearly mirrored.  !OOM.