@hippoanon The implication thus far has been he originally planned to close it completely on his own, not telling anyone. She only found out from a text from her mother, so she's angry he's not communicating anything when she wants to keep the izakaya running. So now he's suddenly saying he intends to keep it open but hasn't bothered explaining why he decided to close it, or why he's suddenly changed his mind. It seems like the presumption is he's getting too old to keep running it and is now just being stubborn to spite her, thus her continued opposition to him regardless of him closing or continuing it; at the moment she clearly doesn't trust her father won't change his mind again. At the end of the day, he can't continue forever and does need a successor if he doesn't want to just close it and walk away, so his ignoring her entirely is short sighted in its own way. Chefs would usually would begin to pass a lot of the work to their apprentices by now, it's a rough industry on the late middle-aged but clearly her father has nobody thus his original declaration to simply close it and her effort to find him a successor.
@OP_Zed we'll see soon enough but it does look that way thus far. Gen is a Kanto establishment and thus has a different sense for pub food compared to Kyoto's, in addition to Nobuyuki's very traditional training as a chef for a ryokan. We saw in Nobu that Nobuyuki was only just beginning to play around with foreign menu items after they became rooted in the Old Capital but we've seen he does make things like menchikatsu, which is basically just a breaded and fried variation of the hamburg steak served in Gen.