Thank you, Daniel.
That is interesting. I didn't think of it that way. It basically means that children are more forgiving of Aspies for their disabilities/mistakes. In other words, as an Aspie, you can feel safer with children.
I need to modify my theory:
This means that some Aspies can feel quite comfortable with children while others could feel quite awkward with them. There is no uniform response to children. But either way, they could, and probably are, misinterpreting the emotions of children. It is just that the miscommunication (or lack of communication) is not obvious with children. For instance, the difference between laughing AT and laughing WITH becomes virtually irrelevant and difficult to discern with children. (Because either way, you do not care as an adult.)
Another factor that is potentially confusing is when someone says "I'm good with animals", it could be interpreted in two different ways. Temple Grandin, for instance, is talented with observing and understanding animal behavior. This is one way of saying, "I'm good with animals." But on the other hand, Grandin has a capacity to see the animals get slaughtered without feeling much emotional pain. She can describe the whole process matter-of-factly. Many typical people could not do this, so they need to completely numb their emotions in order to deal with the cattle at all, which blinds them from seeing better and more humane ways to handle cattle.
So, when someone says, "I'm good with children", it could mean that he is good at understanding their behavior, which is different from truly connecting with children emotionally.