Gotta disagree with Kat being Lady in any way shape or form. Having the same hair doesn't make her a rebooted Lady, nor does having something slung over her back - otherwise it'd be a similar instance of Nero being a rebooted Dante (same hair and a sword over the back
). Kat and Lady's backgrounds might seem similar by having an evil father, but Arkham was just a human obsessed with demonology, while Kat's foster father was an actual demon. Certainly, they both grew up to fight demons, but in very different ways, one as a demon hunter, and one as a psychic.
Kat fills an interesting role that's a happy medium between what we've seen non-Sons of Sparda characters take on; she's not a femme fatale (Trish, Lady), but she's also not simply a regular gal caught up in everything (Kyrie).
And c'mon, if Kat was supposed to be "reboot Lady," wouldn't they have given her the name Lady/Mary? Every other character from the classic series has a DmC counterpart named after them for the reboot, why would they not do the same for someone as iconic as Lady was?