'The Supreme Court on April 8 paused Boasberg's temporary order blocking Alien Enemies Act deportations, but said anyone else targeted for deportation under the law must have the chance to challenge their removal in court." -- published sources
I'll start here and meander ....
I assume you're referring to Trump v J.G.G.
The opinion,
entered April 7, was that the
detained people with deportation orders as a result of the AEA proclamation are entitled to review.
"More specifically, in this context, AEA detainees
must receive notice after the date of this order that they are subject to removal under the Act."
KAG was deported 3 weeks earlier.
The opinion references Venezuelans who are members of an FTO, Tren de Aragua.
KAG is a citizen of El Salvador, not Venezuela, and presumed by DHS, 2 Immigration Judges, and Prince George's County of Md police to be a member of MS 13, not TdA.
It's probable that the President of El Salvador assumes he is a member of MS 13.
The opinion states that seeking of habeas must be done at the site of confinement. KAG was detained in La and Tx. Habeas wasn't sought in La or Tx and the court case is in D.C.
Jurisdiction in D.C. may be an issue and lack of jurisdiction was the cause of the habeas issue to be previously dropped with respect to those in confinement.
KAG already had removal orders from 2 separate Immigration Judges, established years prior to Trump's AEA proclamation. Other than his entering the country illegally and failing to be granted asylum there is no requirement that he be charged with a crime, or convicted.
He had removal orders and the AEA proclamation occured years after his removal orders were approved.
Regarding an FBI lawyer who altered a document presented to the FISA Court to spy on a U.S. citizen, there is no defense offered to the Court in a FISA warrant request. The Court relies on governmental candor, not lack of candor.
"Clinesmith pleaded guilty to one count of making a false statement within both the jurisdiction of the executive branch and judicial branch of the U.S. government, an offense that carries a maximum term of imprisonment of five years and a fine of up to $250,000. Judge Boasberg scheduled sentencing for December 10, 2020.
The sentence from Judge Boasberg ? He gave probation to an FBI lawyer who altered a document to the FISA Court to spy on a U.S. citizen that violated "both the jurisdiction of the executive branch and judicial branch of the U.S. government,"
A FISA warrant on Carter Page allowed for the 2 step rule to spy on a Presidential candidate and, after the election, POTUS.
Judge Boasberg was a member of that FISA Court.

Now, back to those "published sources."