Well, I recognise a lot of this. I'm quite open about it with people I know and although some of them are offended by it (those people have issues of their own...) I don't consider it a bad trait.

I do not have any curiosity toward others unless I hear them say something interesting and then I am more invested in them. I'm happy to talk to people out of politeness, but I feel no urge to make friends. I have friends, and those friends are fine with me. I automatically assume I don't have much commonality with others and that it would be a chore to socialise and to be polite all that time. Perhaps I'm wrong and there's loads of people like me and I could have a massive crowd of friends, but in all honesty, I don't care. I have no interest.

I do have empathy, though - slightly too much of it because I 'feel others' pain' in a way that is detrimental to me. But that doesn't make me the caregiving type, tbh. I feel their pain, and I want them to be ok, but I also tend to think I'm not the person to help them - someone more comfortable with giving hugs and nurturance and all that is going to be the best person for them. If they want my help, I try, but some people get annoyed because I give them rationality rather than strokes and try to provide practical advice etc. Not in a cold way, and I try to show how much I understand them, more of a 'pep talk' way, I suppose, which I guess not everybody wants. I know myself this sometimes isn't helpful, and it's not like I can't empathise with them, I just struggle to actually put that into words. I don't use emotional words often because it makes me feel uncomfortable. Everybody's different, not everyone is going to want to be life and soul of the party. Don't worry about it