I'd suspect that the media wanted to mention the lawsuit, if for no other reason, to spread a whiff of scandal over the administration.
As to why the name of Judicial Watch wasn't mentioned, it could be that the networks didn't think anyone would recognize the name anyway, or it could be that they didn't think anyone would take it seriously if they knew who'd filed the lawsuit.
There could be another reason, but I can't think of it right now. I wouldn't think that Klayman is real happy at his group not getting the publicity that would go with the mention, though!
Can anyone confirm this, have a link?