I doubt this because, yeah, the UI would probably differentiate that very clearly (though it's probably not final right now) and, as you say, micro-managing that would be a total mess. Plus, she'd be locked out of some moves if a particular set of 3 was broken, yet she wouldn't be able to regain those moves until every single one of her Personas were broken and then she recovered in the 14 seconds it would take her (in which case, essentially independent Persona recovery mechanisms would need to be implemented, though I guess it isn't impossible since she's the only one next to Ken to have multiple Personas).
Cool concept. Always wanted a character like her and a character without a Persona, and now Ultimax has both. Wonder if she'll be able to micro-manage multiple Personas on the screen at once, or what exactly makes it so that she was given that many cards compared to anyone else, aside from weak normals. Looking forward to her trailer.