I think you've got most of it covered... I can't think of anything more to add.
Oh! Don't forget to include a link to the awesome video ladollyvita333 once made; it was a braid-dictionary of all kinds of braided styles. I can look it up for you... hang on... Yep got it!
https://www.youtube.com/watch?v=H2ifoTyHoA4
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