This isn't a question about Trump but the Court.Do you think trump will care for any laws or judgements, anywhere? My interpretation is we’ve entered into an imperial authoritarian presidency.
If you are asking whether Trump would ignore a direct order from the Supreme Court, I don't know. But if the Court says that Trump lacks the power to remove vaccine mandates without the approval of Congress, it wouldn't be up to Trump. It would be up to the states, and those states would continue to enforce their mandates whether Trump liked it or not.