The first system that was used for making 16mm colour movies used Kodachrome camera film, and A special Kodachrome Print stock - both reversal. When ektachrome came out, their was a Special Low contrast 16mm stock called "Ektachrome Commercial" which could be printed on a Kodachrome release print stock.
The driver was the reversal stocks had smaller grain. Once Eastman Colour Negative got past it's first few versions, the grain was down enough that ECN started to be made available in 16mm Big budget 16mm films could also shoot 35mm and make reduction prints on 16mm stock.
The Movie Negative films are of lower contrast than the Still colour films. I played with them about 20 years ago. There were some labs who took advantage of the fact that the movie industry often generates "short ends" (part rolls of Movie film of less than 400 ft) and sold them for still use, including making a print on EASTMAN colour print film. Trying to print the negative on regualr colour paper showed the lower contrast, and sure enough the same labs would offer to process regualr C-41 film, and then make slides on ECP. HIGH contrast slides!
today, scanning is much more the norm, followed by editing as d*g*t*l video and using a Laser film recorder to make a new negative to produce the needed ECP film prints. Here again the latitude of the negative film rules the day, as well as the experienced workers being much more confortable with the materials they are used to using.