I haven't seen any difference between NTs and aspies in regards to wanting or valuing relationships. I think perhaps NTs are more aware of what they are looking for and less likely to settle (at least the NTs I know seemed very sure of their dating 'criteria' much earlier in life). And as others have pointed out, there is more likelihood of NTs meeting a suitable partner since the mainstream dating system is set up for NT preferences. If you don't enjoy clubs, bars, parties (very sociable events) and struggle to know if someone will be compatible just from a photo (which a lot of modern dating apps seem to assume) then it's more difficult.
I actually found it fascinating to watch my NT sister 'husband hunting' in her 20s. She is very NT, very sociable, and knew at a young age what she wanted in a partner. She had a few fun relationships early on that she knew wouldn't last, but then decided in her mid 20s that she was ready to get married so needed to find 'the one'. She signed up to multiple online dating websites and spent the next year going out to dinners/films/events with a handful of guys each month. She knew from one date whether they were right or not. As soon as she met her (now) husband, she was fairly certain he would marry her. Within a few months they moved in together and two years later they were married.
In contrast, I've had three long-term relationships and several shorter ones where it took forever to work out what their real intentions were, whether they were a good match, whether we wanted the same things, etc. I just don't pick up on things that my sister does, so it can take years to find out who that person really is. I need to spend a lot of time around a person before I feel I know them well enough to evaluate our compatibility. It takes me months, years to do what my sister manages to do in one meal. I've met other aspies who say the same. I believe that's one of the reasons why aspies tend to remain single or end up with completely incompatible partners. An NT can easily assess and 'reject' 30-odd people in the time it takes me to assess one. So unless that one person happens to luckily be a really good match, then it's statistically far less likely that I'll find someone. And outside of dating, the people that I've spent enough time with to get to know haven't been available.
I guess this doesn't matter if you are looking for one night hookups rather than a compatible long term partner. But I think it's the latter that most people are aiming for.