I'm no lawyer but maybe we have one reading this thread who could comment on your very reasonable query.
My bet is that the Trump Administration would request an immediate Stay of the lower court order pending a full review by the Supreme Court. And given the clear view of the court on this matter, I would anticipate that the Stay would be granted.
But, then again, I'm not a lawyer.
That clarifies the previous reply that I got. My thanks to you both.
That’s already addressed. This “hold on the hold” continues until a final disposition on the case, including any Supreme Court appeal.