Hey, I am not sure whether I am Neurotypical or have AS, I believe I have AS, but am afraid to request a diagnosis. I however used to be in a long distance relationship.
From my experience it depends on the type of persons involved in the relationship whether it will work out or not, for me it didn't unfortunately.
My relationship lasted for about 2.5 years (on and off), I met her online and after about a year we decided to meet up. I flew over there, stayed for about a week, and really liked her in person, I wasn't sure what to expect and went over there with a kind of withdrawn attitude, as in awaiting what would happen; but she really came on to me strongly which made things a lot easier for me. Her family also seemed really nice to me, even though I wasn't able to really communicate with them because we did not speak the same languages.
A month after we met she came to my house to meet my family and everything seemed to go well. We however broke up about a month later for reasons still pretty vague to me, just to get back together 3 months after that.
This time would be different I thought, and as our relationship continued I believe my love for her became really genuine and strong.
She came to me for a longer period this time; about 2 months, and we visited each other a couple of more times after that, we also started discussing and planning what we would do later on in our relationship, where we would live etc. We ended up breaking up late 2012. This was cause of trust issues we've always had (at least I did), and the breaking of this trust and her confessing it to me.
I was pretty lost in life for a while after the relationship ended because I missed her in my life, and as my life continued it was nothing like the plans we made. She was the only person that I could be around and not feel the need to constantly worry and struggle to make up to some sort of social expectation. (I still felt this need at times, but cause I didn't all the time, I thought it would come in time as the relationship grew)
The happiest moments of my life that I can remember of were when I was together with her. Even though our relationship has been over for quite a while, I can't really see myself getting together with anyone else (not with her either though), I guess this feeling will change someday though.
I believe that for a long-distance relationship to work, both the people involved need to be committed to the relationship at all times. This is because of the trust issues that come with a long-distance relationship; You can never have the same amount of security that you would have if you'd be together with your partner, so if one party doesn't commit or acts peculiar, the other party will get suspicious.
Another aspect that comes with a long-distance relationship is the fact that once you've met its really hard to separate from each other again. I've often felt powerless when she would express that she missed me and was feeling sad because of that or if she was sad about something in her daily life. The fact that I wasn't in her daily life and could not support her as much as I would like and the fact that our relationship was making her feel like that at times often got to me, and then made me feel sad in return.
The online aspect of the relationship also got too much for me at occasion, where I felt like I never had any time left to do things for myself, because all of my free time would go into making the relationship work or chatting/being with her online.
Even though I feel like I wrote down many things I may have experienced as negative, I encourage you to try and make it work the best you can, if you believe you belong together with the person you are in this relationship with. It can bring you great fulfillment.
I have a relative who has also had a long-distance relationship, and they are happily living together now (3 years later). I envy them.
I'm just new to these forums and I realize this is a late reply, but I hope it can at least be help- or meaningful for you.
Best of luck in your relationship.