I must say this buddy.. as an owner of both GH4 & BMPC 4K (not even the Pocket) I would whole heartedly recommend looking toward the GH4 for crazy portability, unfathomably awesome battery life, incredible 4K image quality, decent low light (better than blackmagic!)
It most definitely CAN create cinematic images & finally has up to 96fps in smooth slow motion at 1080p (v.decent) plus with future firmware potentially giving RAW! Lot of options & both great cameras but GH4 also takes my love - even sometimes over my 5D Mark III because of it's 4K is just crazy detailed & yet such small files??
The GH4 & A7s are both equal contenders for my love, especially full frame sensor for low light (wow am I right!) However, nothing beats the portability of 4K with no external recorder. So much love for walking into concerts & festivals with just Leica 25mm f1.4 & GH4 getting fantastic footage feeling lightweight & actually enjoying myself ;)
Love the camera & highly recommend if you're after terrific images & superb portability at very low price. Best of luck & enjoy!
Must have been epic to be one of the astronauts hearing the news... pfffffffffftttt