I'm not sure-- several people have said no, but I think that much of the trouble aspies have in this area is not with the objective aspects of reactions to things like this, but the subjective aspects-- facial expressions, tone of voice, body language. Your objective reactions were appropriate; only your roomate can tell for sure about the subjective reactions, and even she isn't-- ahem-- objective about it.
I think of it more as empathy vs. compassion than empathy vs. sympathy, but that may be the same question. I think empathy is more about knowing, and compassion/sympathy is more about caring. The aspie problem isn't not caring how other people feel-- it's not recognizing and/or not responding appropriately. (and, like I said, appropriate response entails correctly reading tone of voice and facial expressions, and responding with appropriate ones... it's not something we can be sure of here.. her subjective communication, or yours.)
After many long years of practice, most of us can even figure out those facial expression recognition tests-- but it takes time and effort. You look at them, put thought into them, and finally figure out, from the 4 possibilities listed, what the person is feeling. Ability to do that is not ability to look at a person in real life, be able to tell what they're feeling, and respond accordingly, with correct facial expressions of your own.