I actually really like this side of Jaehee, and I appreciate how they've used Hana's mistake here to bring it out - she respects a good work ethic, and the fact that Hana is willing to take the blow on the chin and learn from it, is easily worth the potential loss of a guest she was really excited about meeting. She takes it as a personal failure for not paying enough attention to Hana and not guiding her properly, and clearly explains what she did wrong and how she could have done better. She doesn't coddle Hana, but you can tell how immensely proud Jaehee is of her when she resolves to do better. It's so sweet.
Honestly, this really captures what I love about Jaehee's route - it's such a natural progression of a formal coworker relationship to a close, supportive friendship, and on from there. It's really believable. Maybe it's a bit of a cop-out that her route isn't as explicitly romantic as the others are, but even so, there's something I find really valuable and endearing about their friendship, and the fact that they get along so well they don't even need to be in a relationship, necessarily, to get along as well as they do. Obviously, I think it's way better with the romance angle, but I'm a real sucker for couples who are just as much best friends as they are lovers, and Jaehee's route captures that feeling perfectly. I love it so much.