Mike, who was in China for a very long time, remarked recently that it doesn't seem right for someone to say something critical of another, then call them "hyper-sensitive" when they don't react well. It may be completely true, but it isn't a determination that the initial offender can objectively make. It also leaves one rather defenseless since the person potentially being hyper-sensitive isn't in a position to persuasively disagree.
So if you are going to criticize someone, you need to enlist another to insult their reaction after you do it.
Otherwise, it just doesn't stick.