All the home video versions look completely different due to being mastered for television.
The theatrical look is an attempt to make the film look what it looked like in the theater.
Two completely different goals for the projects.
It says so right in the information file:
Color Timing: The color correction has been done on a reel-to-reel basis (mostly).
This preserves the color variations from shot to shot as they would have been seen
in theatres in 1983. A few deviations from the reel-to-reel correction have been made
to better conform to a TV/monitor environment, plus other minor adjustments. For the
most part it is a reel-to-reel color correction.