you wear one mask with one group, another with a different group. Wouldnt say multiple identities though.
But yeah, the mutual reinforcement is a BIG problem.
You're just establishing that for a given persona there is a spectrum from 'Mask' to 'Identity' and insisting that there is an arbitrary threshold.
For a moment, embrace a worldview that there is no singular, core Identity -- in fact all personas are masks to some degree. An Identity may be a mask you're particularly dedicated to wearing, but it's still a mask. The rest of these "systems" people's perspective follows from this point and emphasizes certain experiences -- that you may suppress -- over others that you may hold on a pedestal.
I think the mask analogy is a good one, it feels to me that regardless of what "mask" I'm wearing, I'm still the same, singular person underneath it in all situations. I am only one person, even if I only choose to show selective parts of my personality at different times.
Is there stability to who you are? This question can also be asked of nations, of language… And this debate dates back to Plato.
I think that's debatable, and further, a lot of that coherence is a personal/cultural choice and not something inherent to consciousness. At a minimum, you might admit the existence of biases like anchoring -- maybe you'll more heavily weight your child's desires while playing with them versus when your in the middle of work a day later (maybe vice versa!) -- but such things might be a hint of how these other perspectives work.
My view of it, for my own personal reflection, is to first define identity. I opt to have two prongs to it, rooted in game theory: executive identity & motivational identity. Given a decision matrix executive identity is the actor being able to choose. Motivational identity is what determines the pay off values of the outcomes
It's possible to have conflicting motivation, which ends up debating itself until it's decided by your executive identity. In various contexts these motivations will overtake each other on executive identity, causing one to behave rather differently
There's a range on how cohesive these behave for people, for some it can be distinct enough to feel like a different person