I think the idea you're aiming for is "don't treat everyone as if they were you"?
As in, equality doesn't mean that everyone is just like you, and it's wrong to assume everyone shares your status. Along the color line- don't treat people of color as if they were white. It's just as degrading as stereotyping.

(btw, I'm not a PoC, but I don't think you need to apologise for your analogy)