I mean these countries have huge interest in this guy. He knows intimate details about how the USA gathers intelligence. I mean I wonder what kind of info he has given (if any) to these countries. I am sure Putin would love to get a hold of those laptops he took with him.
The enemy of my enemy is my friend should be pretty obvious once you're running from a government that does not think twice about murdering their own citizens.
Only time will tell.
In the end, it worked out very well for him, because he ended up in powerful countries who weren't in a hurry to do the US Government any favors, but the implication that he's "aiding the enemy" by running to the US's biggest rivals is ludicrous.
I assume those countries already had their hands on that information (and more). If it was easy for Snowden to get his hands on it, it would have been just as easy for them.
This information falling in foreign hands isn't much of a problem I would guess. The real fear is more information leaking to the biggest enemy: the public. I would not be surprised if part of the dealing of granting him asylum was that he stop leaking to the public.