Unfortunately, anyone can use the "constructive criticism" passive-aggressive tactic to make the person who could have had a valid reason to be angry about what was said look like a complete as*hole for defending themselves against what seems to be an unfair or exaggerated charge. "Constructive criticism" is in the eye of the beholder - and too often, the people giving it don't bother to put themselves in the shoes of whoever they're criticizing and consider whether they would really feel the same way if it was being said to them. I'd much rather be dealing with someone who's honestly attacking me than someone who takes a shot at me and then hides behind the "I was just trying to help!" defense. At least the former type is being honest in trying to take another down a peg.
I've actually found that it's more effective to come from the point of trying to understand behavior (at least behavior that is not harmful or way out of line) before one tries to correct it - deal with the perceived problem in almost a Socratic way. Ask the reason for the behavior, or what the person means by doing it, and use the person's own response to either establish that the person a) didn't know what they were doing and meant no harm; b) actually needs to do that for a valid reason, or simply finds it more enjoyable or useful than not doing it; or c) did so deliberately, but knowing that it bothers others, will try not to do it again. At least with me, I'm much happier if I'm given the chance to explain myself and my actions rather than just being given an across the board "Don't do that" or "Do things my way," as it means that the person is really trying to make an effort to help me on my terms. However, this requires a lot more effort and understanding, and yes, a bit of curiosity rather than just judgment, which a lot of people, regardless of neurotype, seem to lack.