In Russia's eyes, this is a huge embarrassment to the United States, letting him go where he wants is exactly in Russia's interests. Russia probably already know what he leaked.
The Cold War angle is a deliberate ploy to paint snowden as a "commie" - a handy Pre-made five-minutes-hate figure for the over-40s.
But maybe there can't be that many stupid people in the US media?
This changes in focus and ways of how espionage in both countries is conducted. Russia does not unwittingly wish to provoke the Americans; and for what? Snowden is hardly a high target in terms of intelligence, as he was merely working for a contractor to the NSA.
Russia wins by doing nothing.
Russia wins by copying his files and denying it. Espionage is alive and well, just last month a CIA officer was arrested allegedly trying to recruit agents for as much as $1 Mil a pop. The info Snowden has in his laptop is super valuable, why not have it?
Russia stills flies nuclear bombers to the edge of US and Canada airspace. It still has agents throughout the West, many who have built lives here. The leadership in Russia is still emboldened and lauded for standing up to the US in various ways.
In many, many ways it is the same as it always was.
The only reason I think Russia might not care much about Snowden's info is the fact that Snowden got the info in the first place -- if a 6 month outside contractor had the keys to the palace, there's a good probability Russia already knows everything he knows.
"See, he was stupid enough to go to the russians and now they have our secrets because of his incompetence"
It even starts with a presumption that "Now that Russian intelligence services have presumably gotten what they want from Edward Snowden"...
I am having serious problems with the bias of this "article".
Not that I believe the Russians wouldn't lie, but the internal logic of the article does rest on the assertion that they are technically telling the truth while leaving themselves a loophole. Since it is safe to assume that Snowden did strong-encrypt the docs on his laptops, this internal logic falls apart.
(As a sidenote, I don't think I've heard the phrase "semantically (in)correct" as much in my life as in the past month. Someone should write a browser extension that automatically replaces it with the phrase "weasel words".)
Even then, if that horrible scenario results, if he's smart, has a mechanism for plausible deniability, so he can give a key that decrypts to false information. 
The assumption of this article is bogus.
 You create a hidden true crypt volume and you put that inside another volume, do this for as many layers as you wish.
Or keyloggers, or sensitive listening devices, or hidden cameras, et cetera.
Even Snowden himself admits that security at the endpoints is incredibly weak.
Of course they may briefly arrest him to check his status, and Igor on the other room is cloning his hard drives. Last resort they may blackmail him, go to hell /a USA prison or tell us the password.