What's self-hating about acknowledging a fact? There's literally nothing a human can do that can't be done by another entity/group with even near-equivalent intelligence, alien or artificial.
We don't even know if that is true, and even if it were true, that doesn't mean that humans aren't special. We don't have to devalue ourselves. Our values can and should be 100% anthropocentric in my view.
How often do you say that to your wife?