Many, many powers falling under executive branch (and agencies') regulatory authority, which Congress does not go into N-th level detail about how to implement, have to go through significant public and internal review, and have good explanation.
If you're unfamiliar with this, you should read:
https://fas.org/sgp/crs/misc/R41546.pdf
https://www.federalregister.gov/uploads/2011/01/the_rulemaki...
It seems reasonable to assume that you’re familiar with this concept, so I’ll just chalk it up to a misunderstanding.
“ Did Trump lawfully repeal the Obama-era order that shielded young immigrants who were brought to this country as children?
No, the court said in a 5-4 ruling written by Chief Justice Roberts. He said that while the president had the legal authority to revoke the Deferred Action for Childhood Arrivals, or DACA, his administration failed to give a reasoned explanation for ending a policy that encouraged about 700,000 immigrants to register with the government to obtain work permits and avoid deportation. ”
The standard of review for free speech cases are way, way higher than the APA. The APA just means the executive can't blatantly lie about why it did enacted some regulation, and has to come up with a facially valid reason. The standard under the 1st Amendment requires a good reason.