Can you record something with your Rode Video Mic set to the 0 dB setting ( standard "normal" setting ) and your GH4 set to -12 dB, and then send a link to download this sample. ( either privately or publicly )
I'll give you my opinion on what it sounds like to me, and I'll send you a finished version of the sample using my standard workflow for audio.
You should be able to get quite good sound from the Rode Video Mic, with little hiss. ( assuming that you record in a quiet place )
Challenge accepted!
I DO think the noise floor is totally good and low enough to be useful, I'm not saying that... I was saying I CAN hear hiss as opposed to not hearing hiss at all. My H2 has hiss at the noise floor (everything does), and it might be a little better - I should dig it out and do a side by side.
I can always gate, expand, or EQ to fix... and I LOVE the RODEs - have the stereo one too, but it adds more noise than mono.
I'll post up a link later