does this applies to the movements (title tag) as well?
Yep, it should work on all levels of a composition, from an overarching work title to movements or parts.
The only thing that puts sand between the cogs is the fact that there are variations of how many tracks a composition can be divided under for a release.
E.g. one and the same opera on one release can be divided in 20 tracks, and on another release more cut-up (more specified) in 30 tracks.
(or maybe even just two if it's a vinyl rip: 'side A' and 'side B')
For those cases neither Picard nor renaming can do much for what the OP is asking here.