I think it's important for all members of the family to support each other emotionally, and it doesn't matter whether the support is coming from the parent or the child. As a member of a loving, caring family it is important to be there for each other. Celebrate each others successes and support each other when we fail. Otherwise, what's the point of having a family.
I wonder if your parents were, instead of asking you for emotional help, were actually asking you to be more cooperative and work as a team. Of course, I don't know your situation or your family dynamic, and I don't mean to offend you in any way. Often my son, an Aspie, does things that make it difficult on everyone. Instead of being cooperative and trying to help the family out, he does things to make it worse for himself and for us (his parents). I understand some of this is due to his way of thinking, and we do try to accomodate for this. However, there are other times when we know he can do better, but refuses to try to do his best (because he either wants to be lazy about it or flat out just doesn't want to). At these times, I ask him to be more cooperative and quit making everything so difficult on everyone else. His behavior and mood does affect everyone else in the household. He wouldn't want me or his father to be moody and disagreeable with him, and we expect the same from him.
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A foolish consistency is the hobgoblin of small minds. ~ Ralph Waldo Emerson