Yes. Self-awareness and acceptance plays a part. Once that "light bulb" turns on in your mind, then you can begin to separate and identify your autistic traits, your "autistic moments", from simple, everyday, normal behaviors that everyone else has.
Personally, I am not in a position professionally where I can just let my mind go and be myself, per se. Like my neurotypical peers at work, I have to project a professional persona when I am dealing with people. It is exhausting. I come home from work some days, absolutely trashed. Then,...my wife has to deal with my autistic behaviors because I am too mentally exhausted to mask anymore. Furthermore, over the years, I have had to have private conversations with specific members of my wife's family regarding this,..."It's not you, it's not about "like or dislike",...I have a condition."...and then have to explain how my autism may present to them and why I do the things I do. I suspect it's a bit of a process for most adult autistics "coming out" to the right people at the right time. Very few people understand what autism is. In fact, my brother-in-law said it perfectly, when I had to come out to him, "I've heard of autism, I just don't know what that means."