Isn't Kodacolor-X a C-22 process?
If it is the case, it does get processed at a much lower temperature. I would have to search around to find such information.
It also did use a different developer. If I'm correct, C-41 uses CD-3 while C-22 used CD-2. I know this doesn't say much to most but the Color Developer CD chemicals are what makes the image in color...
Processing C-22 into C-41 chemistry at lower temperature will probably produce an image. The developing times will also get a lot longer. There could be an issue with dye stability and aging. I also strongly recommend not trying to process C-22 film at C-41 temperatures since it will completely strip the emulsion from the film base and just gum-up everything (read: don't send to a minilab)
If you plan on processing your old Kodacolor, keep it for the last rolls through the soup
