Nice post and observation! It makes you wonder why they just didn't do the whole bit "live". Richard is a world-class piano player/arranger. His ability to insert these wonderful moments into songs is uncanny.In case anyone has not heard it, One Love, MYOKOM TV 1971,
where the piano interlude is just a bit different from the recorded version.
I love it, it is a beauty (go to: 1:57 for that piano):