Ive been biting my tongue.
But here goes a little bit.
Ive seen great video shot on a 550D, h264, and with very little gear. Check out the link, and "Portrait of Macerata" clip at the bottom. The other clips he explains how he did it with very little gear.
http://philipbloom.net/2013/09/13/part3/
Ive seen great video shot with a 600D, H264 with just a monopod as in the clip bellow. Thes guys have a whack of tutorials on how to shoot cinematic with DSLRs.
Ive seen great video shot on a 60D in H264.
So aps-c H264 is extremely competent.
Dont tell me the 5DMIII is crap compared to a GH4. The GH4 is a different tool. You can shoot 4k also on a galaxy not phone camera that's sharper than a 5DMIII ... so what?
Cinematic film, rarely needs a 4K sharpness infact most cinematographers soft focus more often than sharpen for film.
The skin tones on a GH4 always suck, and its bokeh is ugly. Its just not that kind of tool, its well lit master shots are great. Its DR in the well lit master shot is great.
You can crop it in post great. The 5DIII bokeh, low light noise, shallow DOF, RAW colour, are all fabulous with right glass/skill.
And for general 35mm film, the aps-c sensor size sensor is the king, its what's in a RED ONE.
Film set guys complain about the FF cameras, because the DOF is so shallow, it requires a lot of takes to nail it.
You want to get it done, an aps-c camera is your bread and butter.
I like all three of these 70D, GH4, and 5DIII but each for its own strength, neither does it all.
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Walter is right, sorry for tangential stuff.