Color correction is a two step process, as far as I understand it. The first step is to bring the color as close as possible to what was filmed on the day. This is usually shot by shot, especially for something as unevenly graded as Star Wars. After that is achieved, the second step is to globally apply the ‘look’ that you’re after, whether that be reintroducing a Technicolor look or the look of Eastman film.

Of course, you could simply go to to step 2 if you aren’t particularly concerned with (or don’t know) how things looked on the day of filming.

I think that the color correction videos that Mike posted were part of step 1, and aren’t indicative of what the final look would be, which ideally would mimic the intention of the filmmakers in '77.