Depression and AS are two totally separate things; however, depression can be (and usually is) a symptom of AS. Proof: Suppose one is depressed all of his/her life but able to notice social gestures cue, and body language. They take meds, and they are treated.
Example: My grandmother had clinical depression but very verbal, social, and easily recognized all body gestures, cues, and easily maintained eye contact. (Strangely, she did well without antidepressants. If I knew the secret of how she successfully did that, I would share it; alas, I don't know)
Now me: I have AS, major depression and anxiety; however, once I got treated with anti-depressants, socially I still couldn't maintain eye contact well, couldn't recognize some body gestures and verbal expressions; I still can not tell when a woman or if a woman is flirting with me or not; and socially, I still screw things up often.
All it takes is one counter example to show that a claim is false; I think, therefore, I have succeeded in that.