oddly enough, because there are so many suits and not enough actual "interested media" to report on it, from what I have stumbled upon over the past 8 months, they have complied with the lower courts for certain things.
For example, I saw this earlier today -
DOJ Reacts After Major Legal Blow by Trump-Appointed Judge
Published Aug 14, 2025 at 8:36 AM EDT
The Department of Justice said this week it was "expeditiously" making available nearly $95 million in congressionally approved funding for the National Endowment for Democracy (NED), following a federal court ruling that the Trump administration's withholding of the money violated federal law.
(snip)
There ARE some subjects that they obsess over though and will fight tooth and nail with every appeal avenue that they can come up with, including going straight to "Daddy Roberts" to get permission to continue until the cases work their way through the snail-slow lower courts.
There have been many fuck-ups with the law (and other things) that they have done and have had to scramble and backtrack on, so it's a coin flip for this particular case. In addition, when it comes to "Rules", Congress can intervene with the Congressional Review Act to repeal a Rule - but that requires the President's signature too so it only rarely goes anywhere UNLESS they are doing it against a previous administration (which they have already done with some of Bidens regs).
Otherwise, you might be wanting them to pick up arms. You either try following the process or find an "alternative".