They must have their own servers, anything going into that cable is just a 'foreign' request.
Those are important - sure, but i would gather they dont make up more then 40% of all requests.
But only some of the routes should be down, and they still should have a very large lan, with dns, www, email and anything else they have on the spot, and im willing to bet that the ISP's there have stuff like that.
IIRC the web wasnt just designed to be foolproof, it was also designed to be autonomus once disconected from other networks.
Or am i missing something here, and all that they have is cables, no other infrastructure ?