I did a lot of Playing with ECN2 films many years ago, and I also occasionally shoot my home movies on 16mm colour neg, and have them "workprinted" by a small lab in Toronto.
The movie Negative is lower in contrast and saturation than film intended to make still camera prints. The old traditional process had the Camera Negative printed to a master positive (lab film) then to several Printing Negatives, and finaly to the release print. Anyone who has copied slides knows that you tend to pick up contrast at each stage so they start with a lower contrast original to make it easier to control.
Most films these days use the Digital Intermediate process where the negative is scanned and a new negative is made to print from after the film is edited in the computer. Both Kodak and Fuji make a special stock for this.
Most of teh current NEGATIVE stocks have the rem-jet. both Fuji and Kodak. when agfa made negative stocks they also used it. In a motion Picture processor, (or a Kodachrome machine) it is removed as the first step. You can leave it for home processing although you have to filter any solution you want to re-use and be careful to not get it on the emulsion side of the film.
Current print stocks have gotten away from the rem-jet as that eliminates a wash step, and water is hard to come by in Southern California where many film labs are located. for the same reason soundtracks are now Cyan, and every theater had to switch to newer sound heads that use a red laser or LED light source. The newer Digital tracks are also cyan.
All Kodak film production is now under entertainment imaging _ which changed its name again last time I heard. (the the Cash Cow division?) this is why they can afford to do things like use Vision Technology in the Ektar film.
AGFA still makes 35mm Movie PRINT film and sells it in some markets, the last time this topic came up on Cinematography.com The Asian Market was mentioned. As the figures earlier in the thread attest, even a small market of Motion Picture prints is a lot of square feet. The Print stock is all Polyester.
Kodak does say on there web site refering to their scrap motion Picture print division "Several million pounds of film are destroyed and recycled annually." Most Theatre prints are scrapped soon after the film leaves the theatres.