The concept of "ego-states" makes this easier to explain. Asperger's is characterized by some behaviors that may be characterized by either S or N, and also, T, or Fi.
The whole "taking things too literally" get associated with S, but then, they are well known for their problems with stuff like sensory skills. They are said to have no empathy, so you wonder how they could be an F. Or some would say it's Fi, with Fe as "shadow". So you wonder how any F could be an Aspie.

But there is type, which is determined by how the functions figure in our ego-states, and then, there's all of these other factors, which may shape our use of general "sensation", intuition", "thinking" and "feeling", but these are not the special S, N, T or F that determine type.

AS is primarily a condition where the nervous system does not regulate itself well enough, so pain (both physical and emotional) "hurts" worse than it should. This may create ego-states that seem to push a person towards N and T, but other things could change that.
An S and/or F with the condition would still in the dominant and/or supporting states prefer perception of "what is" and judgments of "what's good" (and if a J, what's good according to an environmental standard, and if a P, what is, immediately in the environment). There would just be more frustration in the areas of social harmony or physical activity, but they would still be driven by their perspective to keep trying, and the S and/or F preference would most likely end up mitigating the condition. They would get a little better at those things than if they were an N and/or T, and probably find a niche where their preference could be put to as good a use as possible.