I'm not sure how you're making that case. To my mind, there's a very clear and important difference between these two things, even if I accepted that he second premise was true. Which I don't.
White people don't oppress black people simply by being white. Men don't oppress women simply by being men. The word "oppression" has no meaning if you define it in a way that makes "unwitting oppression" possible.
There is a great deal of room for a conversation about insensitivity or blind spots on certain issues and I'd strongly support children being taught about this in schools if it was done intelligently. But teaching children that anything is true about them simply because of the colour of their skin or the configuration of their genitals is just so obviously a step in the wrong direction.