That is a very western-ish view of how things in Russia are. You judge them by your own ideals.
Yes, there might be some pro-russian international media that is not controlled by Kremlin, but most of the time you can trace the money to Russia. We can discuss any specific examples that you want - I'm not claiming knowledge here, but I don't want to do a lot of research for a HN comment. I'll give one example - rt.com.
I mean, you "think" that is a fallacy, but what do you base it on? Do you think things like this don't indicate a thing? http://rsf.org/index2014/en-index2014.php
I'm not claiming there is no pro-russian international media that is not funded by Russia. I am saying it will be difficult to find it.
Imagine all the TV be like Fox News and actually controlled by the Government. You will get closer to Russian reality.
You also have to understand that whatever you read in english, that comes from things like rt.com is adapted to a broader and more intelligent audience and to foreigners. What you get in russian is different.
Disclaimer - I am a lithuanian, I am exposed to lithuanian media which covers things from Ukrainian perspective, sometimes covers news from the Separatist side; I am exposed to western media. Sadly, my russian is quite poor, so I'm not exposed to russian media in russian much.