I wouldn't call Inori an anti-hero at this point. He's past that already. He's a full blown villain protagonist ready to become the world's newest demon lord if he wanted to.
Inori is starting to remind me of a Raoul who didn't go full edgy, in a power fantasy story with no depicted sexual violence. Asking Aliyah if she was a virgin was a little weird, so let me get this straight, he for some reason can not turn someone into a vampire kin if they've had sex before? I'm not sure how that adds up, unless it's just a twisted preference of his. Admittedly I'm not too familiar with vampire tropes, but that does sound weird to me.