Executive action applies to the Executive Branch.
BATFE is under the Executive.
Some creative EOs could go far to choke out the firearms industry. Nothing “infringed” per se, but no way to practically function beyond homemade muskets either. Near nobody can make a gun, and feed it, to modern standards without being a big enough business that can be shut down by prohibitive regulations.
“Executive action applies to the Executive Branch.”
It was the title of a 1973 movie, too. Check out the plot.
BATFE is executive branch. They don't need much encouragement, if any, to draw up and enforce ludicrous rules. FBI likewise. Their job is to round up and persecute people, the more the merrier.
Congress is happy to sit on the sidelines with one part of the chamber carping and the other part cheering. "Nothing we can do about it," and the courts like convictions as much as anybody in the thug government.