I think he banned one journalist who kept revealing his private planes location.
He also banned journalists who reported on the ban.
And the planes location was at the time public information as was legally required for ALL flights and accessible via the FAA's own portal, all the person he banned did was make it marginally easier for the average person to see what it was up to by basically linking to the correct part of the FAA (a government agency) website.
Even now that he's applied for a rare (for non governmental use/military) obfuscated reference number for his aircraft all he's done is made it very slightly harder, as they follow a certain style and don't change much so all you have to do now is see where one is in use and compare it to where he's known to be, check it at another time and IIRC you've found his "hidden" aircraft number as oddly enough travelling by private aircraft makes you very very easy to track to anyone with a modicum of understanding of how aviation works as you basically have nothing powered in the air in the US (or most other places) that doesn't have a transponder saying "Hi I'm X and I'm at this height" from the moment the aircraft is powered up*.
From memory it was about the time Musk the champion of all things green was taking flights that took 30 minutes as a routine thing** (and likely not saving any time compared to driving in a tesla once you allow for the time spent getting to the airstrip, waiting for clearances, getting from the airstrip to where he actually wanted to go).
His entire argument was an utter load of nonsense and seemed to have been made up after he got caught out having a hissy fit.
*It's how the entirety of civilian air traffic control works, about the only things that don't have a transponder are hot air balloons, microlights and other things that are flying in very restricted circumstances at low altitudes, even military jets now fly with transponders on when over most of the US after a couple of very nasty accidents where ATC didn't know they were present (even "secret" jets will have a transponder even if it's not showing the aircraft type, IIRC ATC could tell for example the spy planes from their height and speed even if they didn't know what they were).
**The absolute worst part of any flight for pollution is during the take off as they go from ground level to cruising height, and on short flights you rarely get the engines to run at their most efficient for more than a few minutes (IIRC private aircraft are something like 10x worse for pollution/energy use than even a commercial flight under the best circumstances).