"AS is [...] characterized by: [...] the inability to interact successfully with peers"
Might be the wrong place to be looking for 'normal' net-friendships.
Looks like those you have been chatting with is as clueless you as to what one is supposed to be doing with a friendship. Goes for me too, that; either exchanging platitudes until it gets too boring, or rambling on about a special interest and hope that the other part also finds it interesting.
Huh, that might be the next step.
After the questions to ensure there are shared subjects of interest, ie "What are your hobbies?", either the hobbies are shared and there is something to talk about, or the other part turns out to have an hobby that seems interesting, "Really, what is [random hobby] about?" / "Could you please explain some more about it?". Cue rambling on about the subject.
Best thing I have found about having AS-friends; they tend to tolerate more rambling and disjointed thoughts, since they know they would act the same. Actually realised this after changing class; there was suddenly a lot of nice people to talk with, and it took me several months to figure out that almost all of them were aspies, and that this might be the reason I found them so easy to talk to.
Another way to find friends would be to have a penpal; when there are weeks between the replies it isn't as obvious that every second letter contains the same question. Might still bring the same resultate though, only more dragged out.