Even if the we imagined the courts as apolitical (and I agree with you, they actually are political so imagining otherwise is silly), the question of how to react to court cases in other countries is a matter of geopolitics and international relations.
While folks believe all sorts of things, I don’t think anyone is going to call international relations apolitical!
International relations could fairly be called anarchic because they aren't bound by law and no entity is capable of enforcing them against nation states. Remember that whenever 'sovereignty' is held up as some sacred, shining ideal what they really mean is 'the ability to do whatever the hell they want without being held accountable'.