I listened to This Boy again, not having heard it for a while. No, I didn't hear any of that. Of course there were a lot of mild discords, in the sense of there being maj 7ths in there, but nothing like the raucous discord of MMT. It struck me, though, that TB is the closest they got to reproducing the poppier American sounds of the late 50s. It reminds me a bit of Juliet by the Four Pennies (I know they were a British band, but they were borrowing that style too). It was the Beatles unbuttoned, waxing old-fashioned and sentimental.
Going back to MMT, I love the way they use A major as the pivot chord between the alternating sections. While still in E, it's the subdominant, but it's also the dominant of a different key, D. No matter how many times I've heard it, it always comes as a shock when they bounce off A major and hit that D chord, going right into not just a new key, but a new rhythm. It's logical but still hair-raising. Traaaang! ".....The magical mystery tour is coming to take you away".