Yeah, it will most certainly be part of her progression, but in would also be kinda iffy if the only reason she's going after you is because you are your mother's son.
She did soften up two times.
First time when the MC mentioned that he didn't have a mother.
Second time when we came around with Jessica.
But to me the progression seemed fine.
She knows our mother, so she has some interest in us aside from just wanting to piss off her dad.
She's not going to be head-over-heels because we're the son of one of the only people that treated her right, but she's at least giving us a chance.
Eh, not like it matters, Arc already changed the dialogue and who knows how he's going to progress her story.
Claire is not a main girl, won't be a main girl either.
But she seems to be a borderline main girl.
More content than the average side girl but no story of her own.