Anecdotally moving abroad in high school saved my social life. I was a shut-in and never adjusted in the US, but moving abroad gave me a fresh start and let me develop into the person I am today. I'm very appreciative for the opportunity and would never trade it for anything.
For what it's worth, I moved several times during my childhood (my father was a diplomat, so it was to different countries, not just different states) and frankly I loved it.
As you say, each location is a new start, a break from earlier expectations, and a chance to reinvent yourself. I strongly feel the benefits outweighed any negatives.
I am friends with some folks who have lived in a single area their entire lives, and while they do have a feeling of 'roots' that I will never have, they also have a smaller worldview. Not their fault, in the sense that you can't expect someone who hasn't experienced something to understand it, but I'm glad I lived the life I did.
Not to diminish your experience, but I would infinitely have preferred moving abroad vs. bouncing around domestically. Doing so gives you a free pass in some ways, since it’s expected that there’ll be some element of friction for you as you adjust to the culture shift.
If you have friends who immigrated at a young age, I highly recommend talking to them about the experience of returning back to their birth countries (if they’ve done so). Especially for those who no longer speak the language, it’s often a reverse culture shock.
Guess I'm lucky?