Kid3 worked well - so install that.

Then 'open folder' with it. Select whatever files you need to correct and/or all of them. Kid3 can handle batches just fine.

With the file(s) selected - 'remove' the version 2 Tag (Tag 2) - then click the plus to the left of 'Tag 2' - then click 'From Tag 1'. It will populate Tag 2 with the data from Tag 1 on all selected files. Click save (saves all changes at once), and 'rescan' the directory/collection in Strawberry and they will no longer appear as 'various artists'.

Just a quick and easy way to fix multiple files if you are having this issue.

I define more generic, custom genres to make playback easier with Apple's Car play. Rather than the plethora of sub-genres and other craziness that auto-populating will often produce.

select compilation, compilation_detected, compilation_off, compilation_on from songs where artist = 'Sonny Sharrock' and album = 'Black Woman';

The first column named 'compilation' is the one read by the tags, the compilation_detected is the one calculated by Strawberry's collection watcher based on album title and directory of the songs.
The ON and OFF is what you set yourself (with right click), the OFF will override everything else.

A picture explaining in detail what I mean: the '1969 - Black Woman' folder is correctly placed in the 'Sonny Sharrock' folder in my HDD, and accordingly tagged. However, Strawberry redirects it to the "Various Artists" folder for no apparent reason.