> The political position of the grayzone is anti-imperialist
No it's not. They have no problem with the imperialism of China or Russia or Iran. They call themselves "anti-imperialist" the way Trump would call someone else a liar, to get out in front of the accusation before someone (rightfully) labels them as such.
> And huge thanks to Russia for funding some media critical of the US.
Propaganda. The word you are looking for is propaganda. Do pick up a history book and read the difference between, say Radio Free Europe (which is US funded) and the current attacks on anyone willing to expose Russian war crimes in Syria for example, funded of course by the Russian government.
Don't allow yourself to be used by a foreign state, just because your politics match up.