I can't speak for myself, but my daughter, when she was born, it was a very normal birth except that I was in Cheyenne Wyoming and they wouldn't give me an epidural until I was 9cm dialated (which you aren't supposed to do, but I think it was more for my sake than the baby's, but I wasn't going to correct them on that one), and I did have to hold her in at 10cm dialated for an hour while the doctor found my chart that got lost somewhere between the doctor's office and the hospital. I do remember them saying she came out so fast that she had a lot of fluid in her lungs that they had to (can't think of the word right now at all, but remove the fluids). When she was 3 months old, again in Cheyenne Wyoming, she got the rotovirus vaccine through the nose (a liquid into the nostrils), and she started choking (better word for it that I can't think of either) on it, and the nurse didn't know what to do and was just standing there for a good minute (yelling at me for yelling at her to do something) before she went out and got the nurse practitioner who finally cleared the airway. What really made me mad was I can tell she still had a lot of fluid in there and they were rushing me out of the room to use it for the next patient, and if I left when they wanted too instead of being the witch I am and staying, my daughter probably would have choked again in the car ride home where I can't see her in that rear facing car seat.
But even with those stories, I know a lot of NT's with similar stories (well, not usually due to the ignorance of other people, but stories more like came out too fast and had a lot of fluids in the lungs for a good minute). I don't think any birth runs perfect. But I do see family members who could be or should be diagnosed Aspies, so I buy the genetic explanation most.