I rather her take up her own identity, like I understand she doin it for Emi but even as an observer her whole life she still can't be her and technically she's not, it's just the fact that she's using Emi as a mask. She obviously has an ego/ personality of her own and since she's been exiled she has all the right to behave however she pleases without having Emi as a front. At times it also seems like she's heavily tricking herself about what emi wants when it definitely feels like her own desires are definitely mixed in. There's a difference between live a life and being an observer of that persons life.