I think it would be best for you to focus entirely on the functions, not on the descriptions. An ESTJ with Asperger's is going behave differently than a neurotypical ESTJ. If you gain energy when you interact with people, you are most likely an Extrovert. I've seen some extremely Extroverted people with poor social skills. The two are not necessarily correlated.
There is a lot of truth to what you've said, but I think you may be confusing the functions with the spectrums. A percentage or scale representing extroversion on one end and introversion on the other is a spectrum, whereas the functions like Te, Ti, Se, Si, etc. are more concrete and just come in a specific order, as opposed to there being a large gray area like with the spectrums. When you look at it in terms of the extrovert/introvert spectrum, it's really difficult to say where I stand personally with those criteria, such as being energized by others. I have other things on my mind, like how to do the socially appropriate thing. I like being with people though, I think I've just been ridiculed to solitude for the most part, which has made me more used to being alone and working alone. Most introvert criteria doesn't fit me so well, and the introverts on here, most notably ISTJs, come off to me as being more socially apathetic than I am.
Well, I don't think it's likely someone with Asperger's would be ESTJ, in any case, given Asperger's generally causes more Ti-like behavior. The functions are ways to categorize thinking styles, not actual portions of the brain.
It's interesting you should say that, because on the function test, my top functions always come out as Te and Si about tied, and Ti next. I don't particularly trust that test, but it is worth noting. If anything, I would think that the repetitive routines/activities would be most closely tied to Si.
You're right. People with Asperger's are usually ISTJs, INTJs and INTPs. However, there are exceptions. ESFP is the only type I can't conceive someone with Asperger's testing as, since that would be so contradictory.
Yeah, ESFP is usually linked with impulsiveness, while aspies are generally anything but impulsive- at least to my present knowledge. My least-used functions are Se and Fe- I pretty much completely lack Se.
I thought Asperger's can be pretty hung up on collecting or organizing things.
I could see how that may be Te-linked.
Also, keep in mind that I've only known that I have Asperger's for about 3-4 weeks now. It's a newly found discovery for me.