I'd agree absolutely with what DeeDee wrote.
To add my anecdotes, though, from the perspective of someone who lives with HG girls who are not on the spectrum, one of whom is an introvert, and who is/was gifted herself, and who knows at least one female peer of one of my dd's who is both gifted and on the ASD, I do see differences, though.
One of the major things that stands out to me in differentiating btwn say, my oldest dd who is HG and an introvert, and a gifted girl with Aspergers is the social naivete, mostly what the blogger lists as trait #2. My dd needs time alone to regenerate at times, she likes quiet, but she is also socially aware of what is okay and what is not and doesn't have to sell her soul to fit in. She fits in better with other HG kids and often with older kids, but she is able to be herself and be fairly popular. I was probably more awkward than she to be fair, so I don't see popularity as a measuring stick.
The girl I know who is 2e with Aspergers is not only socially awkward, she seems unaware that she is saying or doing things that make her appear odd and is hurt when it is pointed out and becomes defensive. She is very, very naive and seems much younger than her age as well. I don't see my HG kids as appearing younger than their ages. They may appear different in some ways, but if anything, they appear older than their ages.