On the other hand, while they clearly feel awkward around him, Minamo still felt relief upon seeing him, so it's not like he is disliked.
Also, another interpretation of Tsukie leaving is that Tsubame feels awkward around a father that, while absent for long periods of time, still has a close relationship with his children, considering her family.
Honestly, I like the father so far, he seems to be doing reasonably well, considering the circumstances.
A lot of stuff about this manga is open to interpretation, it doesn't hit you on the head with exposition, one of the things I really like about it. But with Tsukie, it's not just that she left, it's that her immediate reaction upon seeing him again was to criticize ("Wow, he really came home. If he was taking an overnight bus, he should've said something").
As for Minamo, I don't doubt Minamo's honesty about her anxiety going away when he came back. But what we're shown is that the two of them don't really know how to communicate with each other. You can even see that in how when Tsukie says her food is "the best" she engages in light banter, while when her father says something similar they end up in a weird, awkward moment. I don't think she dislikes him, but I don't think you can call them close either.
Finally, while he may or may not be doing his best with his daughters, I haven't forgotten that he started dating his second wife, Suu's mother, while she was in high school (and he was much older). After the way Minamo condemned Reika for what she did -- though she was somewhat motivated by jealousy I'm sure -- her opinion on that particular saga has probably started to change as well, even if only subconsciously.