The color timing for Star Wars: A New Hope: Special Edition Laserdisc is sourced from a Technicolor print, so, unlike the DVD/Blu-ray’s, the colors that you see for the Theatrical footage are basically how they’re supposed to look. Between the US and Japan Laserdisc, the transfer for the Japan LDs looks more similar to the Technicolor print.
Looking at these releases
here, it’s most likely that the transfer for the LD’s released in 1997 are both identical, but for the 2000 re-release
here, is the transfer also identical or somewhat different?