I don't think there have been any studies to say how many of us are like that, but likely most of us.
If it's not logical, doesn't make sense, and is superficial, contrived or somehow artificial, most of us would not be interested.
Of course there's also that little clincher of women tending to be subtle when they like me, so that's always gone over my head. Many women I could have dated I didn't because they were not direct, I didn't know they were interested, or I just didn't understand the subtle signals.
One time I even had a female friend write a little poem to me - wine me dine me 69 me, and I still didn't get it.
Nowadays if that happened, and if I was single, and interested I wouldn't need any further prompts, but subtlety AND overly direct signals are quite problematic.
Thankfully my wife is practical and logical, and though not an ASD, she has enough character traits that we understand each other.
I think that's the key, if you aren't asexual, you don't have to be romantic, but you will have a better time with others like yourself, whether ASD or not.
Those of us who are not romantically inclined can only really connect with people that make the effort to understand us; usually that's not people who are living in fantasy land romantics.