Hoagie's Gifted is not an authority, but in any event the Duke Gifted Letter and CTD reference at Hoagie's both refer to developing leadership ability in high-intelligence children. This is at odds with the vage consultantspeak from the website you've linked, which states that everyone is a "gifted leader", and that "gifted leaders" "work effectively with other people to achieve shared goals". Everyone can win a medal after all.
In my opinion, too, that aspect of a vague federal definition of giftedness has about as much relevance to the type of giftedness this site supports (i.e. intellectual giftedness) as Howard Gardner's theory of multiple intelligences. Sure, one can be "gifted" in animal husbandry, tiddly winks, or any other aspect of human behavior, if one defines "gifted" to refer to any trait that sets one apart on the higher end of any objective or subjective measure, but that's no help in discussing the intellectual giftedness we deal with here. I've never heard of a state mandating educational or development services for "gifted leaders", although there are many states that mandate educational services for intellectually gifted children.
What would perhaps be helpful is discussing personality traits in the context of giftedness. It's good for a gifted person who displays leadership interest to develop it, certainly, along the lines of those links from Hoagie's. I just don't find much value in trolling commercial consulting websites for the sorts of ad copy you've presented here, and I think that it's a mistake to muddy the waters by referring to leadership skill as giftedness, in the context of this website.