A.Claire would be a completely different person than Jane, since she’s shaped by totally different experiences and Jane, as a Maid of Life, is uniquely defined BY her life experiences–I’ve written about my interpretation of Jane in this regard here.
If this were true, then it would be Homestuck’s most ambitious and intense exploration of the questions of Nature vs. Nurture it’s explored continually so far, maybe even moreso than the difference between Bro and Dirk.
That’s another reason I like the idea, given that the Alpha session is, in its broad strokes, heavily crafted by the extreme impact of either Dirk or Jane, who trade off absolute control of the session back and forth, but through proxies. AR (NOT Dirk) is in complete control of the narrative Pre-Entry, and Post-Entry Jane ends up dominating the whole session first through Trickster Mode and then through Crockertier–both times without her full agency. I only point this out to note that Dirk and Jane have always existed as extreme parallels of one another.
So just as Bro seems to be influenced by Lil Cal to a great degree, I’d be interested in seeing a version of Jane who is fully subject to the Heiress role the Empress has always wanted to impose onto Jane, and which proved incredibly toxic to her in her Alpha timeline. Let me be clear: I think A.Claire is an absolutely heroic figure. I also think that about Grandpa, though–I just regard him as a hero with a tragic flaw, in the greek sense.
I wouldn’t be shocked if A.Claire had a similar issue she never overcame, since that’s kind of the Thing with the Alphas, and though Jake and Jane undoubtedly love each other I don’t think they worked out their issues. If they had, I don’t think Roxy would have been so lacking for support, and if Jake had solved his problems through his relationship with A.Claire, I kind of doubt he’d have run away from the kids.
But I digress. I don’t think Pa would find it incestuous because, for one thing, there’s no indication he would know. Pa was apparently a big fan of A.Claire’s. That’s unsurprising, given his at least subconcious affinity for his old friends. But he’d have no way to know about that or ask her about it before they actually became close. So basically I don’t think it’s something that would occur to him?