https://pmc.ncbi.nlm.nih.gov/articles/PMC4866579/
https://www.sciencedirect.com/science/article/pii/S135382921...
For the layman:
https://www.nytimes.com/2024/07/17/health/moving-childhood-d...
https://www.psychiatrist.com/news/moving-even-once-in-childh...
https://www.verywellmind.com/moving-depression-and-your-chil...
From the first link you provided:
> Firstly, increased risk for onset of mental disorders between mid-adolescence and early middle age could be a consequence of serious and enduring difficulties within families, rather than being a direct result of residential mobility. Relocation occurs more commonly amongst single parent and step families and those from lower socioeconomic background
Unfortunately, you took one single "could be" sentence out of an entire gamut of data confirming mobility-related mental health issues in children and completely ignored the conclusions section in that same paper, so I think you have already severely hardened your position and are unlikely to be convinced by anything I offer.
I would suggest simply talking to a practicing psychologist about this - you would probably be far more convinced than a HN commenter. Actually, this is where I first found out the same - I didn't know about this until a consultation with a psychologist.
(You can also ask your AI buddies - ChatGPT also confirmed it with several case studies offered.)