It all depends on what you want to achieve. If you never want to use a different sort order but always sort by the literal artist name, you essentially don’t need the sort tags at all in your files. The only reason for these tags to exist ist that typically discographies get sorted by person last name first and bandname without article (like in a library). But if you want to sort by artist name as it is, then essentially there is no need for those separate tags.
So you could also just get rid of them. Add a script in Options > Scripting with the following content:
$delete(albumartistsort)
$delete(artistsort)
If you for some reason want to have the tags in the files, but want them to always be identical to the artist / albumartist tags, then you can set them explicitly with this script:
$set(albumartistsort,%albumartist%)
$set(artistsort,%artist%)
What is about band names starting with an article, how do you want them sorted? E.g. do you want “The Beatles” be sorted under T or B? If you still want to to get rid of the article for such bands you could use the above script with the $swapprefix function:
$set(albumartistsort,$swapprefix(%albumartist%))
$set(artistsort,$swapprefix(%artist%))
That way your example of “Judy Nylon & Crucial” would stay like that, but “The Beatles” would get the sort name “Beatles, The”.