But why the difference between album version and isolated blu-ray version of the music for the parade sequence
Disc II, track 16 features the complete original recording of the Parade of the Charioteers, which was spliced (rather audibly using the old scissors-and-tape method of the 1950s) to fit the film sequence. Disc IV, track 17 features the trimmed-down film version, this time digitally edited by Mike Matessino and Neil Bulk.
It's a pity that one of the most famous marches in all film music had to be mucked up in the editing. But that's the way things work out in the movies -- even in a de luxe production like B-H where there was more composer-director collaboration than usual. And we wonder why composers like Previn, L. Bernstein, and Corigliano have steered clear of Hollywood?
Creating the "live with film" version must have posed particular problems, since the score had to be re-edited fit the movie. Also, I believe that this movement of the four-part suite differed from the others in that the full orchestra was used instead of the original band arrangement.