To some extent I think a comparison between Pet Sounds and A Love Supreme is apples and qumquats.
But still...I suspect that someone who is capable of listening to and understanding A Love Supreme, whether or not they like it, is also capable to listening to and understanding Pet Sounds, whether or not they like it. But I don't think the converse is necessarily true. That is, having the ability to listen to and understand Pet Sounds does not imply that one can also understand A Love Supreme or, for that matter, a Beethoven piano sonata.
I vote for innovation as mining. I've visualized an abstract version of that starting on p. 14 ("Stagnation, Redux: Like diamonds, good ideas are not evenly distributed") of this working paper, What economic growth and statistical semantics tell us about the structure of the world, piggy-backing on Romer's 1992, Two Strategies for Economic Development.
On Morvec's paradox, chess and Go are quite different from math and physics. Chess and Go are both finite games (a finite number of pieces, on a finite board, with a finite number of open moves at every point in a games) with a small geometrically simple footprint. That is not true for either math or physics. Both are radically open-ended and unbounded, though math has no physical footprint at al