Yes it would have been important.
Either Minnie finally decides what the role of a 'father' is in her life, if at all, and then chooses Ashok or walks away from him, or she spends a big part of season two trying to deal with this.
HS is out of the picture for her - the day she made him sign the address proof document under false pretenses, she changed something forever. Yes, he's going to understand when he finds out, doesn't mean he will not be hurt. He has learned to deal with heartache since he was a kid, ab ek aur hi sahi.
I honestly think this would have been a great track to explore for S2 but not in the way they've approached it. They wasted SO much potential and material for what? Her? This is ridiculous.
Oh yes please! Let's just add on the hurt to HS. It's not like he has a fkcing heart that bleeds. 😡

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