Please pardon my ignorance, I have just learned this term after realizing how well it explains 26 years of my life. Wikipedia defines the syndrome like this:
"Asperger syndrome (AS), also known as Asperger disorder (AD) or simply Asperger's, is an autism spectrum disorder (ASD) that is characterized by significant difficulties in social interaction and nonverbal communication, alongside restricted and repetitive patterns of behavior and interests."
From this definition, I get the impression that "difficulties in social interaction and nonverbal communication" is what defines AS. I'm very curious to learn why you think it is overgeneralization.