I don't think it needs couched in terms along the lines of "psychological safety". This just reminds me of what appears to be a recent tendency to over analyse and pathologise every single aspect of human behaviour, when in reality it's often nowhere near this complex. I think this is common in people immersed in "therapy" culture, because they seem to adopt a belief that everything everyone does is somehow a reaction to their own personal history, with a particular slant toward it being about mental health or being a "defence mechanism", when there's no reason why it need be any such thing.
I am hyper-independent, the reasons are simple. Firstly, I don't really enjoy the company of other people so I want to limit how much I have interactions with them. I also want to limit how much people think they can demand of me, because frankly, I'm not interested in that sort of relationship. Secondly, when I have been in that sort of relationship with people in the past, I've found that people, being human, are unreliable and unpredictable, so it's simply a pragmatic choice on my part not to put myself in the position of expecting to either be able to predict, or rely upon, the behaviour of others.
This is all it is. It's a simple case of expediency and pragmatism.
If I was being more cynical about it, I would also mention that from my perspective, other people do not have or offer anything I want, so I have no reason to involve myself with them, but that is really philistine and I appreciate that most people don't feel this way.