Besides what you said, that's not a surprising correlation because it's easy for Multinational MegaCorp Inc. to have a multi-ethnic board after a few international mergers.
And then there are very opinionated shareholders like Vanguard and BlackRock, which receive voting rights for every Euro that I save for old age, who can make this outcome a self-fulfilling prophecy by punishing companies for lack of diversity.
I don't think it's possible to control for all of this.