I don't think it's odd. I think the stereotype is "odd" and doesn't allow for personality. I think that is damaging to a lot of people are probably are Aspergian, but can't get help because of their supposed "extroversion".
I only suspect I am on the spectrum so this may not be useful to you, but I am a lot the same way. I can talk way too much when I am one-on-one with someone I know very well and not extremely nervous or in that weird "tired" zone where I have no words. I can do small talk in small groups of familiar people that I am comfortable with. But in very large social groups (like some churches that knew me when I was younger and had all that severe mutism and awkwardness and "shyness") where I am just acquainted with the other people, I usually can't approach people even though I really, really want to, and used to get kind of frozen. Now that I am loosening up and understanding better what might be going on, I get more stimmy, which I've always done to a small degree (nail biting and bouncing my back against a wall, and bouncing on the outside edges of my feet in my shoes or doing visual stuff, playing with jewelry, though for the "walking it off" or pacing which usually results in odd laughing, I go to the bathroom). Maybe I just think it was small before because I am more aware of it now. I'd rather loosen up and possibly stick out than suffer the stress of holding it all in and having a nasty meltdown later. Better to vent than to explode.
The problem is that I really like people. I consider myself an extrovert in that I do like people and do want people and I do get energy from being with people I really, really like but I can't control that energy and end up having a happy session (something I don't do in public if I can help it) and then sort of just shutting down, not really depressed, just tired in a good way, a comfortable empty way. But no one would say I am extroverted. I come across in public, depending on the place and situation, as being "quiet", "nervous", "reserved", "shy", "aloof", and "different".
I think it's normal and I hope you have opportunities to be with the people you want to be around. I know how painful and depressing and hopeless it is when you don't have those opportunities. Unfortunately, crowds are often the places where people meet each other for the first time and when you have severe difficulties in those situations, you can end up giving wrong impressions, like that you aren't interested, and people stop approaching you.
It's too bad, but so many emotional and mental health problems could be solved if one just didn't like people so much 