Come on, I realize "anything's possible," but let's not go the route of "and maybe no one in the case is who they say they are! And maybe the judge is pretending to be a judge! And maybe they're all lizard people!"
Yes, it's possible that the documents the witness had are faked, but is it reasonable for you or I to believe so?
We know that the judge is going to want them checked (since, if they were fake, the DHS would protest). We know he'll ask the airline if they really were served those papers. The witness knows this as well. If the witness were as god-damn stupid enough simply to print out something on their printer, they're going to be held in contempt of court in a moment and maybe jailed for perjury.
Meanwhile, it's perfectly possible for DHS to deny this, and then when pressed say that some internal department or computer error had added her to the list, and deny knowledge or culpability.
So let's please apply Occam's Razor. Yes it's possible that this witness is an idiot and is just printing out pieces of paper when she knows she'll get caught, but why decide to stake your whole stance on "I don't believe either side" as if either story is just as likely? That's what Ignatius was referring to with the "false balance crap."