All of her personalities are implicated to her, it seems. Whether this is a good idea is probably best left to someone who's seen the show, which excludes me.
Well, I know next to nothing about the show, I just came across it while browsing. I think that since all of the personalities have character tags, they should be separate, but I don't feel completely confident about it now.
I support this implication since they are literally just different personalities of the same character. They aren't separate personas or alternate forms.
Don't think I have an opinion either way. Removing the implication and only using the alternate personality's tag would have the benefit of being able to filter out solo images of each personality. There's not really many images of any of them, though, so it barely matters.