While I don't agree with Adria's actions, this is simply nonsensical. The most prejudiced person I know honestly feels as though she is intending no harm when she says that miscegenation should be illegal. It's still her problem that she's a galloping racist and hurting other people.

She could say that all humans should be forcibly rendered sterile before puberty and it still wouldn't be hurting anybody. It's a terrible idea, of course, and I don't much care for it.

That's not true. Creating a hostile environment and perpetuating attitudes that lead to prejudiced action is hurting people. The words you say tug towards the culture you want, and when that culture's thing is hurting the weak, you're responsible for it.