I feel like there has to be just because I see it so often.
The statement is usually phrased as a question: "Why does group X believe thing Y but also contradictory thing Z?"—the mistake being that the members of the group who believe Y do not overlap with the members who believe Z.
For example: "Why do men call women 'sluts' if they sleep with people, but 'prudes' if they don't?"
I know that not every such claim implies this fallacy, but it seems to happen an awful lot.