Short answer yes. But as you say it isn’t very intuitive.
The placement rules apply to new files. The mv command isn’t creating a new file, just renaming an existing file so the placement rules do not apply.
You have 2 possible choices:
Set the Media share’s cache setting to ‘Yes’ rather than ‘No’ and mover will subsequently move the files from the cache drive to the data drives.
change your command to
mv downloads/some_dir/ /mnt/user0/Media/.
As share views in user0 does not include the cache drive this forces the mv command to do a copy/delete rather than just a rename.