So what if Kai calling it a 'suit' is a coping mechanism?
Just talking hypothetically, here.
As in, that is her body. It isn't a separate entity. Her referring to it as a suit is a coping mechanism that allows her to distance herself from what the Void has done to her. There are psychological conditions like that, actually. Where someone is absolutely convinced that their own limb isn't part of their body.
That would solve several pretty major lore disconnects. Namely, why wasn't she twisted by the Void? Answer? Well, she was. But she just refuses to admit it. How did she make it through the Void psychologically intact? Well, she didn't. Not really. She's living in a state of denial regarding her condition.
For those who find her lack of both physical and mental warping offputting, would something like this make you feel better?