After reading the original post, we just asked our son if he was an Aspie. His answer was "No, my name is Aaron." So, as small children and the aged often keep things simple and speak the truth, as society has not warped them yet regarding the former, and as the elderly often revert back to childlike or speaking with honesty without worry, let's focus on each person as a unique person, instead as part of a category.
For instance, I can often get lumped in with other NTs, if I am not on the Spectrum. Personally, that implies I have a set of stereotypical traits and beliefs they have, yet that is furthest from the truth. Let each person define what they want to be called. If one wants to just call themself by their name, or their own nickname, good for them. If one likes that other group term, that is ok, too. Or make up some other term.
Many housewives for instance do not like the term housewives, so they call themselves domestic engineers. Whatever makes them happy, so be it. Society will be so set in their ways anyways what that means, so it is up to each person to determine what they want to call themselves, but when creating forums it is often needed to come up with a group name that is often somewhat indicative what the group is about. Outside of this group I never heard the Aspie term, so in society typical persons would not see you as an Aspie.