Review Detail

The original was a disappointing failure, not least of which were inept marketing and odd narrative.

If you liked the original, or simply wanted to like the original, then check this out.
BBob has shredded a chunk of dead weight. The story now moves!
He trimmed much of Carter's Earth exploits, most of which were unnecessary to begin with.
Enough remains that viewers get an idea of Carter's backstory, and the pain he carries.

Video - Others have made comment regarding the black and white scenes. They looked fine. Sepia would have looked just as nice, as would have washed out colour.
The editing was rock solid. Even during scenes I knew were missing, I never missed them.

Audio - Bit weird here. I listened to this using headphones and several passages struck me as over boomy or too echoey. That would be Chapter 03, Chapter 05 (@ 47"), and Chapter 06 (@ 1:00"). These were all interiors, and all featured the Princess.
When I listened to this using exterior speakers, everything was decipherable again.
I listened to the original using headphones, and the reverb did not seem to be as bad.
BBob prefers 2.0 sound mixes, and I wondered if somehow the rear channels found their way into the 2.0.
This is a quibble. As mentioned, it was not noticeable on main speakers.

Narrative - Terrific job. This is now my go-to John Carter. His ending sets the stage for the sequel, Gods Of Mars, which down the line, might confound the unwary.
A fun summer film. Vast improvement on the studio release and absolutely recommended.