This is something I've noticed as well. I've talked about this with my psychiatrist and she calls this brave, reassured version of ourself the "me-mentor" (jag-mentor in Swedish). Similar to our inner child, this is a core part of our who we are.
The idea, if I understood correctly, is to build this me-mentor more and let it help us feel more safe. Let it support our insecure parts/personas.
(I hope my English isn't too bad)