I don't see how this changes anything since it will still be in US jurisdiction. Rules will be bent when it matters.
I would think that the real pressing issue is Internet censorship. And on this issue the U.S. really does have a very good track record compared to a lot of the other countries who might want to control ICANN. http://map.opennet.net/
You can rightfully criticize the surveillance state that has arisen, but it's just wrong to try and paint freedom of speech as an offshoot of that. Or even, frankly, to criticize the US stance on freedom of speech (unless you think it's too broad).