Well, there are exceptions.
I believe the CAPS files needed alterations before/during the transfer to film, as evident with the light, but noticeable changes in The Lion King, and the massive changes to colors and contrast in Beauty And The Beast.
The makers of BATB said that the look of the original version was because of a faulty transfer problem, which sounds like BS, because I can't imagine them in 1991, seeing the "faulty" transfer and saying "Oh, well, let's release it anyway and wait almost 2 decades to fix it"...
A digital master made using a film print for color correction should do, as those films were meant for 35mm screenings, but that was only the final phase of a completely digital rendering process.
Films made before 1990 (Up to and including The Little Mermaid) were indeed finished on film, so those should have grain.