nagual

Nice, this is as close as I envision it, picture is removed, only action is left and important. Beside obvious skills, an old DSLR, lenses, stabilization 

To be clear, I am not trying dissuade you from getting a GH5 and native lenses. One can do a lot with that camera, but the easiest look will be a little clinical. If you are a good colorist, you can make any camera look "filmic" or "cinematic."
If you're looking for an easier path to that, then get a BlackMagic Camera and shoot in Raw or ProRes.
If you're looking for great AF and nice skin tones go with a Canon. If you want 4K, go with a Mk iv. If you want a more cinematic look go with a C100 mkii.
Take a look at Kendy Ty's videos on Vimeo and see what he did with an old Canon DSLR...
The important thing is to do your research, know your abilities and know how much time you're willing to put into the final product. 
That is all... good luck!!!

Tremendous respond from all participants in this thread. A lot to think about it. I need to digest all these and come up with solution. Though, I want to mention to clarify my needs for the project I am after not only nice footage but in a way "unusual" pictures, meaning, nice, clear, sharp photos will not do this time. Why bother with all these if iPhone can do the same thing In broad daylight, right? Please try to understand what I mean, I am not trying to be difficult or smart ass in any way. Rest assured I never assume that gear is all you need to get amazing results, either. Maybe GH5 is not the right tool for this project, danno, I have to start somewhere ...

Thank you Flynn, thank you Jonpais, all excellent suggestions. For time being I decided to start with PL 42.5 prime, even though it is expensive by any standards ... but native, stabilized, fast with good bokeh. Another lens I am very tempting is Voight 17.5 or I'll try to get 50mm f/1.5 Nikkor AI to see what I can accomplish with. Based on my previous use of OM-D and bunch of Oly native lenses this time around I want to steer away from "generic" look ... Found this enlightening video if anyone is interesting  

I'll give it a go... some people believe the image coming out of the GH4 has a video quality to it, whereas a camera from BlackMagic or other brand of "cinema" camera is more tuned to create a cinematic image. So if you believe this theory, and you're making narratives, a "proper" cinema camera could be a better choice.