Oh yes, DD is a good example of AD (not ADD).

For example, she understands that everybody will die, including herself.
She knows that Santa is not real.

She has just started to make real drawings, not just the typical 'scrambles'.
She gets a tamtrum if DS (16 months) tries to get her Lego construction.

Socially speaking, I am not certain if she is either socially inmature or a social genius because she really has learn to 'act' or mimic other kid's behaviors.