thank you, that's a similar bad feeling I carried arround with me everytime hearing AES-CTR.
The further interesting analysis on AES-CTR encrypted traffic would be if when the data is not appearing to be "random" enough,
if you could recognize patterns inside the data and then resolve back to the encrypted data.
Like the famous ECB encrypted pengiun could still be recognized attacks. 
It would even introduce a lower level of
a.) you transer your passwords file over openssh
b.) I recognize the pattern of that file
= Will start working on that specific data, perhaps the machine juice needed would be out of the question for a normal individual. But the real crypto attackers are not normal individuals, super power computing power is at hand.