If HS isn't a good father then nobody in this world is.Yes, and as he told Babita and Lala, that relationships need to develop organically, you can't force or rush them.
I noticed too that Mini's rejection did break his confidence and he never recovered from it. He didn't once look at her or talk about her during the rituals in the wedding, which is abnormal for him, and his happiness with Babita was always incomplete because of this.
Somewhere at the back of his mind was still lodged the way she rejected him and wanted to leave after the audio clip fight. She made peace because of Babita not so much because of him. Then the whole Babes ki shaadi, ignoring HS' wishes, etc. everything gradually made him sidelined. The speech during the wedding didn't help.
Anyway, if she doesn't want him to be her father he can't force himself to be that. Neither can we hold him accountable for failing to be a father. Whatever that means. If this is a failed father then all the other less than perfect men out there who are fathers would not deserve their title at all.