One thing I'd be wary of who the recruiter is prolly more important that your ideal candidate.
I mean, often in the field when you don't need customer facing, someone on the spectrum can fill the shoes nicely. However, the recruitment firms tend to hire young women who (sorry, not sorry) tend to misinterpret spectrum for rudeness and disregard the candidate. Seen it happen.
To be fair though, it think the awareness has increased and is perhaps less likely to happen.
I know what you mean a bit. I'd say I am on the spectrum. But the (male) recruiter we use who I only met yesterday is good and will read the CV and think about it. I wrote my CV aimed at one sort only. I had had a few silly offers and seen plenty of job adds that turned me off bothering, so I said "f you" to the world, wrote a CV the way I wanted a little tongue in cheek (I thought) that would be understood only by the right sort of person that i wanted to work for.
Well bingo, here I am, the recruiter was impressed and so was my boss. I was somewhat surprised to find that my running my own company on the side was seen as a positive rather than a negative like at my last job but I was also in the game of choosing the right person and did not want time wasters either. Things fell into place and the right type gave me a call and actually told me about how various things on my CV made me a match and why. This guy was not a tick box guy.