I'd argue that complexity is not even the right word to describe what the author describes. Thickness or depth is more accurate.
But life is often more complex than that and it requires great skill to accurately reflect that complexity in creative works. When you're struggling with an experience that is difficult to talk about and understand, a creative work that seems to "get it" can be really valuable in sorting out how to think about that experience. I rarely need help in describing how much I like coffee, but I welcome good writing on the subject of "how should one understand the mixed experience of being very close to someone who you often disagree with."
Is it the complexity itself people value, or the rewards of things that are complex? IME, the most valuable things are complex. Maybe that's because there is not enough capacity in simplicity to contain exceptional value (speaking very generally and loosely - we really need to define terms).
Also, I certainly think people value complex things, but I strongly disagree that they are over-valued. All the best things in my life seem complex.
I could imagine that complexity stimulates the brain in a different way and that adds to reward.