How different do you think Wicked would have gone if...

If Elphaba was raised by the Wizard, known by Oz as his biological daughterin the public eye?

I saw a short fanfiction about this and it didn't go too deep into it, but say the Wizard found out about this little green girl who had just been born to the governor of Munchkinland, put the pieces together by himself, made up some story about Melena (like how she seduced' him, to make himself look like the good guy) and then claimed Elphaba as his daughter in the public eye, taking her back to the Emerald City to raise.

How differently would Wicked have gone then? Obviously, Elphaba wouldn't be ostracized, but would she still go to Shiz? Meet Glinda? Is it possible she would have rebelled by herself when she discovered what her father was doing?

I'm just interested in how everyone thinks the story would have gone.