It feels like this is an example of a song structure that frequently leads to frisson, where you have a standard pop song (verse-chorus, repeated about 3x, maybe a solo), a long instrumental part that feels like an outtro and often has irregular rhythms or key changes...and then the song reconvenes with a vocal part that's either a small variation on the original pop song or something totally different. Other examples of this pattern:
Queen, Bohemian Rhapsody @ 3:05
https://www.youtube.com/watch?v=fJ9rUzIMcZQ&t=150
Pink Floyd, Echoes @ 19:12
https://www.youtube.com/watch?v=KBca3xf-j3o&t=840
Pink Floyd, Atom Heart Mother @ 19:10
https://www.youtube.com/watch?v=Fku7hi5kI-c&t=1080s
Ozzy Osbourne, No More Tears @ 4:10
https://www.youtube.com/watch?v=CprfjfN5PRs&t=220
Styx, Come Sail Away @ 2:30
https://www.youtube.com/watch?v=e5MAg_yWsq8&t=140s
Metallica, Master of Puppets @ 4:50 (mentioned in the article)
https://www.youtube.com/watch?v=0obBdrfUMzU&t=270s
Meatloaf, Bat out of Hell @ 7:38
https://www.youtube.com/watch?v=x7ES7ueI7p0&t=420s
Eric Clapton, Layla (original version) @ 3:10
https://www.youtube.com/watch?v=0WUdlaLWSVM&t=170s
Piano Guys ft. Taylor Swift & Coldplay, Love Story Meets Viva La Vida @ 3:43
https://www.youtube.com/watch?v=xXtVBJDPs6k&t=185s