Spot on. The film can also be cleaned, restabilized, and restored using certain chemical agents but it's a risky procedure so most of the remastering is done post-process digitally after importing it using better scanners like you mentioned.

Film grains will always set a limit for how much resolution we extract from old film but it's really high. Current methods yield 4K to 8K from 35mm film but odds are with better interpolation technology that understands the interaction of light with the random spacing of the film grains, we could probably get something on the verge of 16K. No one has 16K TVs though, so it's a rather pointless exercise right now.

Still makes me curious, how much information is actually lost versus just computationally/physically obscured..