The problem of companies like Kodak or Fuji is, that if they just switch on their coating machines, they will produce much to much film for a niche market - they are simply too big.
OK, how many days/weeks/months will it take Fuji or Kodak to produce the world demand quantity for the next 50 years? Take the numbers of today or a decade ago to be on the safe side. (Overproduction is not the problem, right?)
Then look out for the coldest place on Eart you can find, buy some acres there and push the button. Ship everything you produce to the "cold place" and supply the market from there.
Financing it from what? Well, after you produced the needed quantity of film for the next 50 years machines are wear out I guess. So you can sell the ground you have the factories on to investors before starting this final run and tear anything down after you finished. The incoming money would be suffice to buy enought depositing space somewhere in Kazachstan, Groenland or the Southpole.
So Kodak and Fuji, just push that button for the final run.
On the serious side; could this not work for at least low and medium sensitivity film and paper?
As I understand, the problem of storing film isn't just temperature. Natural background radiation degrades film, too.
There is no place on earth where there isn't, at least, some radiation. All unexposed film will eventually fog beyond useability no matter how well it is stored.
Your definition of good may not be Kodak's definition! You expect high quality from them and included in this is having one batch of film match another. So, it my be up in Dmin, down in contrast or slower in speed. It may be foggier or grainier! We don't know.
Probably "grainier." But I started with LF in 1999, so it's not like I have a personal reference point for actual use of in-date 1985 Tri-X. It's good fodder for my pinhole camera, though!
I can only say that it is fine for what I do with my camera. However, I do have plenty of in-date TMax and Tri-X in 4x5 and 8x10! (And E100G in 8x10!)
Sometimes I wonder if the fogging issues are due to local background radiation instead of stellar radiation. Since I don't see fogging with "ancient" film in my local area, it's a working hypothesis for me. Of course, I'm not going to be carrying out any experiments!