When my eldest was diagnosed with ASD, the Developmental Paediatrician did say he appeared to be high-functioning but this was not given as a separate label, as it were. Also, my youngest, diagnosed 3 months ago, when diagnosed with ASD, it was mentioned he would possibly be more Aspergers but being only 4, it was too early to say. However, she also informed me they are steering away from giving labels of Aspergers or HFA, as it seems to give permission for their support to be lessened as they are deemed more capable than others on the spectrum and being that this invisible condition is so hard to define, they still cannot tell what their capabilities will be. Also, many traits can change throughout their development, meaning they become more capable in certain areas that they struggled with before.
In short, a diagnosis of ASD can vary so much, can change as they develop and still requires regular assessment, particularly through schooling years as they can lose grow out of some issues which once were of concern, as their brains develop. My eldest has a Statement and it has an annual review, making slight alterations in areas where he seems to have gained momentum and focuses on areas which remain problematic or new areas which require more attention.
Not sure if this is of any help but I can only speak from my personal experience and pass on the information given by the Developmental Paediatrician. The level of support has to be bespoke for each child, which is why HFA and Aspergers can give a false impression of their abilities as a whole, even though it does give some comfort knowing the possibilities of their development is more positive.