OK, my friend, please let me throw this at you... They have been stealing terminology for over 100 years now. They take a common sense moral concept and steal the label and spin it to support the exact 180 degree polar opposite and redefine it. The term “Liberal” as an example. It really is time to do the same back. The thing we have working in our favor is that we will be spinning it back to the TRUTH in concept and ideology. If used frequently it will indeed catch on as a talking point. And the other side will be forced to try and explain why it is not. Which they will not be able to do based on the truth.
Because we don't control mass communications systems which are necessary to get the idea out to the public.
Calling them "Marxist Media" in our own tiny little discussion circles will not have a larger impact on the general public.
To make a difference, you need access to 300 million people. Till we get that access, it doesn't matter what we call them, not enough people will hear about it for it to have any significant effect.