I think they're projecting their own fondness for playing the victim onto him. Trump seems to like to portray himself as strong, even the the point of cartoonish foolishness.
Not surprisingly, Trump getting sick is turning his detractors into unsympathetic vultures and the results are only going to favor him. It is their own ghoulish behavior that is creating sympathy for him.
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I think the soy face is a natural thing for women, which is why its so creepy on guys. Its emasculating.