Well... I'm not on Patreon as I have no credit car Because I fear them... But analyzing by how different character with similar personality than Lin, work on other games and even books and stuff... The only way I see available for her to develop and maybe even open more posibilities, would be for her to explain WHY she act like that. Not why she thinks everything is okey with her personality, but what happened on her life. Her past.
Of course, if you develop such background story for her, everyone would want for their favorite characters to develop on the same way, so could be a double-sharp weapon.
Yet, it's hyper interesting your point of view, Because sometimes on games we use to overthink too much about the characters, when sometimes is simplier.