I wondered what these research were.
From the additional readings section I see these two that could be related:
> Hallett, D., Chandler, M.J., & Lalonde, C.E. Aboriginal language knowledge and youth suicide. Cognitive Development 22, 392-399
> Wang, Q., Shao, Y., & Li, Y.J. “My way or mom’s way?” The bilingual and bicultural self in Hong Kong Chinese children and adolescents. Child Development 81, 555-567 (2010).
It seems that these studies were done in environments where language has a very strong cultural connotation and strongly binds to an identity.
Not discrediting it, but I wouldn’t expect the same to be true for a Belgian couple speaking NL first and French second but moves to France and switch to French only.
Put another way, I think the whole arguments need disassociation with contextual factors if the goal is to focus on language. Otherwise language is just a part of the whole picture, and we should talk about first cultures perhaps, and not first languages.