When the incremental output looks like a first-person story the algorithm is not "roleplaying" the character/narrator. Similarly, when it looks like a spreadsheet, it's not "being numbers", and when it's a picture of a flower it's not "becoming one with nature." etc.
Insofar as any roleplaying is happening, it's being done by humans as we observe! We read text, perceive a story and fictional characters and instinctively start imagining and simulating minds (mostly like our own) that never really existed, taking cues from descriptions and dialogue.
Those characters' "motivations" and "thoughts" are just as imagined as their noses or clothing or birth-dates. This is Plato's cave [0] stuff, where we see a shadow like a person, assume a person is there, but ultimately it's paper shape on a stick. We can't help "the person" solve their eating-disorder, because they never existed, we can only trim the paper cutout.