Meanwhile the Supreme Court has granted 16 out of 19 emergency petitions filed by the executive to overturn those rulings, grants that often require shifts in precedent without written reasoning, leading a Justice voting in the minority to describe the Court's current shadow docket practice as "Calvinball."
So (a) they are filing cases (b) they are winning (c) the Supreme Court is giving every indication that the law will be whatever it needs to be to have those cases ultimately lose.