In this redesign she seems a lot more combat-oriented, which I'm not really against. In-game she pretty much only told Dante where to go and put him in Limbo when needed. I wouldn't have minded her being able to defend herself.
Still, this redesign is a bit too focused on her using magical abilities. Humans are still humans and while spray-canned spells are of course a thing, generally their purpose is for supporting the Nephilim. Time magic and stuff kinda goes against the feeling they were trying to create in DmC, a modern human world enslaved by powerful demons.
The demon parents idea does seem like an interesting one, it could've given the demons more depth besides them being evil.