You're quite right, but the point is that ALL of the flak could have been put their way if they hadn't had a tame newspaper with an unprofessional editor to so willingly do its dirty bidding for them.
The story would have been quite the reverse if the newspaper had stopped to check the facts...
While you're right about the ludicrous briefing the press received, most, if not all papers reported on this matter. However, they wrote it as information being reported from a source.
The Sun, on the other hand, ran it, unchecked and unqualified, as 'THE TRUTH'.