I don't have a diagnosis of AS, although I suspect I probably do have it and my daughter, who is very like me, is being assessed at the moment and probably has it. So, my input might twist the results of this thread slightly.
I usually know what people's emotions are, but it's because I pick up on the tiny cues that most people don't notice, e.g. slightly raised voice. I don't know the details of their thoughts, just their emotional state. (I've written on another thread about knowing for 21 years that my mother-in-law didn't like me, even though others didn't see it. But, I didn't know her reasons and she spilled it out last year.) I perform much better than average females in the test for seeing emotions in the eyes. Also, I know when women are pregnant, long before they announce it, but it's those little things I see yet again. And I feel actual pain in my lower abdomen, when I see others with injuries and I cry when I see others crying. Is that empathy? But, I don't display my own emotions accurately and don't respond in an expected way, so others may not realise what my awareness of the situation is.
At the moment, my best friend is unexpectedly in hospital and I've been helping out a lot with her kids. She's so grateful and has said I'm just like a sister, but I can't imagine doing it any other way. I'm not doing it for glory or just because she'd do the same for me. I can kind of put myself in her shoes (I am a mum afterall), but I don't have to empathise to know what the right thing to do is.
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"We act as though comfort and luxury were the chief requirements of life, when all we need to make us really happy is something to be enthusiatic about." Charles Kingsley