> hardly characterize him as a person who is independent and self-reliant
Maybe you have some example as to why.
> allowing your well-being dependent on being above some level in some social hierarchy is hardly considered being self-reliant.
This sounds like a mischaracterization of whatever it is is espoused. No one lives in a bubble, but a strong social network isn't antithetical to self-reliance, because self-reliance isn't an absolute nor is it purported to be - 0 people are entirely self-reliant in the literal sense. It's in practice about initiative, to move beyond a stagnant dependency. For example, seeking professional help in the instance of mental health to improve our lot, or reading a book to that same end, is an example of self-reliance at work. No one can make you do it. You have to want to improve. I see it as self-motivation.