A couple weeks ago, I watched Eight Days a Week: The Touring Years and Sgt. Pepper's Musical Revolution when they were broadcast on PBS. I'm a bit skeptical of some of the assertions that Howard Goodall presents in Sgt. Pepper's Musical Revolution, but I did notice a small thing about "Getting Better" while watching it. The "Filling me up" part of the line "Filling me up with your rules" ascends (D E F G), which musically represents the "filling... up."
While referencing the recording just now, I also discovered that "You're holding me down" (the first half of the preceding line) descends. "Holding me down" is sung to the phrase E D D D C (with "down" sung to two syllables with the second at a lower pitch than the first, which emphasizes the effect). Similarly, "Me hiding me head in the sand" descends (roughly diatonically from E to B), which almost represents the subterranean caching.