I think it plays into the propaganda of the oppressive regime by not asserting individuality. "See, they identify as the group we claimed they were the whole time," the regime would say.
That being said, there is acting as a member of a group and identifying as a member of that group. The former need not entail the latter. For instance, donating money to the ACLU doesn't change your identity to ACLU-er (et simis). No, you are just helping that cause.