Would something like this work?
Blocking google or gmail was never in that plan; dangerous social networks, like Facebook, twitter and G+ are all blocked (and have been, for years) of course. But a search engine or mail provider theoretically should be left alone!
To begin with.
Even if the situation is not getting worse per se, they need to turn it around soon while they still have people who remember what it was like before, or they risk significant cultural loss.