the main difference is that you can't have pages 4 and 5 side by side with the proposed method, since they are back to back on the same sheet.
edit: thih9 linked to the hn post on byorgey original blog post in 2016 and the highest comment by audeyisaacs suggests the same thing you did and got a reply from byorgey who liked the idea and added it to their blog, and outlined the pro's and con's of your suggestion.