I am not a Panes guy, but I see what you are saying. Unfortunately, I cannot help you on panes. I use Category views.
You can set up a category view that is customized to sort in any order you want, sorting on any number of fields you want. You can display the albums either using their cover art with text below the covers or as lists. Doing that you can definitely get a list of genre, artist, album. I use album covers, with three lines of text below the picture - Genre, Artist (or composer for Classical) and Album. You select list versus thumbnail (covers) from the pulldown from the View name. You select the sort order in the same place. Just select Custom. If you want text below an album cover, just build what you what for Thumbnail text. You can also customize the view, for example to show just classical or all none classical (Customize View - Set Rules for File Display). I find that useful since I sort on composer rather than artist for classical Not sure if that helps, but thought I would point out this option.
Swapping first and last names can get complicated. That is why there is seldom a universal option to do that. There are too many variations. If the logic in the other thread is too complicated, you can just create a sort field (like Artist Sort) and fill it in manually for each album. It takes a little work at first, but unless you are adding a huge number of albums on an ongoing basis, it is pretty easy. Once you have that field, you can just use it for sorting instead of Artist.
Hope that helps. Keep at it. You will get there.