Column headers can be selected to display various properties of folder contents (tags), by right clicking a blank area of the column header section and choosing more and selecting which items you wish to be displayed.
Set it up for each folder containing music, making sure that the properties for each folder's "Customize" tab has "Music" selected under the section labeled "Optimize this folder for" to provide the appropriate selections.
For some reason the "Column headers" do not seem to be inherited from the parent container down through the child objects (folders and files).
Something you might try, while in your music folder that you have customized as "Music" and have subsequently configured all column headers to your preferred settings and arrangement.
Use the "View" tab and select the "Options" icon "Change folder and search options" link, View tab again to click the "Apply to Folders" button under the section labeled
"You can apply this view (such as Details and Icons) to all folder of this type."