Well, now I feel bad for her father... He simply wishes to spend some time with his daughter, and she only treats it as something she has to do due to her position.
He seems fake, even if slightly well meaning--hard to tell. Why would he say "parent and child" in scare quotes and with that tone? Then after he says that we get a cut to Lapis' sudden disgruntled reaction to those words (hidden behind a smile of course). It's then that she refers to it being "his command." There's likely more behind that and behind him. He almost seems regretful in this scene, with the way he looks down and furrows his brow when she asks if that's "his command," and he doesn't push her on it.
There certainly seems more to it with the quotes there, yes, but his regret seems very much genuine. May have to do with the glimpses into Lapis' past we've seen so far, but he truly seems to try to make things work while she is seeing their relationship essentially as business only.
