I'm the ASD in my relationship and I can't see that we have anymore trouble than any other couple. We deal with a different set of issues, but not more issues. Most people don't keep a weighted blanket at the foot of the bed, most NTs don't find themselves reminding their SO to not forget earplugs, but otherwise not much out of the range of ordinary.
He has his quirks and I have mine and we like those differences about each other. He needs alone time to read and I need Epsom salt baths. I need soup and he prefers sherbet after a stressful day. I need a weighted blanket and white noise, he needs to watch golf. The hardest thing is that he can stay out and about socializing longer than me and doesn't tire as quick in general.
The reason though we are ok together is because we both just say what we need to say and we share a general personality type. That matters so much more than anything else. If he wasn't as extremely curious minded, liberal, kind, willing to doubt himself (a certain amount of self doubt is good, I nurture that quality in myself),shared my taste in architecture, a bit messy, sometimes obsessive about a topic of interest, and loves to eat the same food all week, I doubt very much we would be together.
ASD is kinda like being left handed, or sighted or blind, or short and stout, or tall and lanky, or missing a leg, or any other difference. ASD is not a personality. ASD is not a set of values. ASD is not political leaning. ASD is not a style. So having a relationship isn't about ASD or NT, it's about having that something else. That connection. That familiarity.
It's not an exclusive thing only NT/NT couples get. It's not something an ASD couple could never have. And us ASDs can be just as caring as anyone and NTs just as cold and mean as anyone.
Sometimes people who might expect me to show that I care in a very typical and conformist way might not agree that I am all that caring. My husband though understands and appreciates things that are different and so likes the way I do stuff. He knows it's not just me acting how I am suppose to, I am sincere. Which is also why I like him. He buys me books instead of those stupid diamond solitaires that are advertised all the time around Valentines day. Oh if he bought me a diamond I would be so disappointed.
Sorry if I got a bit mushy

but I jut don't take for granted how accepting and appreciative my husband is of me.
Anyhoo, my point is ASD is just a difference in the way a brain is wired, not always a big deal, so don't worry about it. Ignore all the bad crap on the internet and focus on you and this individual as individuals. Because despite my use and everyone else's use of ASD, and NT none of us are simply those things. We are all complex, different, and can't be summed up so simply.