There is a bit of a coldness to many of us on the spectrum. That’s not to say we’re mean. Not at all. In my experience individuals with autism tend to be more patient, loyal, and tolerant of differences than other people. But we do tend to look at things in a more utilitarian light.
Empathy means you feel what other people feel, right? That’s affective empathy. Cognitive empathy is knowing why someone feels the way they do. I read a study somewhere that said autistics have affective empathy and not cognitive. But, personally speaking, most autistics I know are much better at predicting someone’s feelings than connecting with them.
We can learn social skills with time.