Which theory of the self is most believed in?
It would seem to be some sort of unified self would make the most sense. People are told to bring their true self to work. "You do you" is a single-self model. There is a pervasive belief in the notion of the self, repackaging notions of the Freudian inner you or the notion of a soul or essence, despite the popularity of mindfulness, which is based on a selfless philosophy. Call this the "you are the person you are theory". This is most intense in tabloids and online outrage where the notion of a lapse from yourself is treated as a weak excuse for immoral behaviour.
However, I think the bundle theory of the self is closer to the accepted norm. Social profiles break out people's roles at work, at home, with friends, their hobbies and their past lives. Personality theory has made some ground and people accept that you are different in different environments. Curation of playlists is a frequent metaphor for other aspects of life. Personalisation in shoes and experiences externalises and fragments the notion of our selves. In a more fundamental way, many more of us now realise the importance of intersectionality and how fractious our social identity is.
Overall the single self or unified self might be persistent, but we are more aware of how weak that theory is than we might know.