Well, in one sense, it's all just words to try to describe how a person is. I'm not sure what the accepted percentage of the population that's Aspergers' is around here, but one website indicated it's about 1%. So maybe one approach to the idea is that we "extreme INTJs" might also be more likely to also consider ourselves Aspies.
Keep in mind, also, that there are a lot of people who probably are Aspies who refuse to describe themselves as such. I suspect that my brother's family (the males, anyway) could all be diagnosed as Aspies if they wanted to be, but I understand that my brother had a meltdown when his ex-wife even suggested that. One of his sons works as an accountant and the other one lives under a bridge. Hmm...
So neither "name" is a hardwired definition, and in particular, a person is generally not considered an Aspie unless they or their parents worked on getting that diagnosis. And in general, once you're past 21, an Aspie diagnosis really doesn't get you much in the way of services, but it could work against you. Some INTJs are on the border and might come up with some other result if they took the test again a few years later... or they are able to overcome their INTJ-ness and be sociable when they need to be, others of us can't...
Mostly, though, it's all just words that someone proposed to try to describe a situation (some people consider religion to be the same thing), and Aspie in particular is a term we tend to choose to (or not to) use to describe ourselves.