Also, it comes almost immediately after the government became aware of what was leaked (thanks to David Miranda). Not knowing this put them at a severe disadvantage before, as they were constantly a step behind and being continually caught lying was ruining their credibility. As others have noted, "was contained in the leaked documents obtained from the NSA by Edward Snowden" are weasel words of the highest order, and the linked article by the Guardian is clearly calling this out.
It's easy to picture a narrative where the government wishes to ham up the "national security risk" posed by these leaks, which they couldn't do effectively when they didn't know what was in them. Intercept David Miranda to find out, cherry pick some information that sounds important but non-threatening to UK nationals, and leak it to The Independent in exchange for a sympathetic story. This also explains even the nonsensical "destroyed hard drives" affair - they weren't trying to delete the data, they wanted to make a big show of "trying" to.
Normally there's always a dig when reporting something that originally came from the Guardian or the Independent.
First thing is that my impression has been that the Independent has so far been pretty much parroting the Guardian articles. Now, I read this article as a "good spying" article. Its there for the government and GCHQ to show that spying is good, or had a good side. From a British security POV, if we believe the terror threat, this article actually shows spying as useful or worth while, and to Brits, good. Arabs wont like it, but to those who matter to the UK and US, I assume they know, and comply. Well, don't want to be bombed back to the stone age or be invaded, right?
Next, why the Independent, and not the Murdoch Times, Telegraph (Known in the UK as the Torygraph), or one of the tabloids? Well, the story needs the weight of a proper newspaper, so that's the tabloids out. That leaves the broadsheets. Pro conservative papers are too obvious, so that leaves the Independent.
Looks to me like a divide and rule thing. So far, the Independent and Guardian have been in step. Now we have the Guardian pushing "bad spying" and the Independent is the "good spying" advocate. The two step has been split.
I say the Independent has been used and somewhere along the line, we will see what they got for it.