My takeaway is that (presuming the argument is correct) that much of human striving is probably better described with specific words (as you suggested - joy, accomplishment, fulfillment, excitement, etc). For most of human history, most people probably didn't think "I want to be happy" but "I want to have a good partner", "I want a big family", "I want my crop to grow so I don't die."
I wonder how much unhappiness is caused by seeking a poorly-defined ideal of happiness.
The book was called "Power, Pleasure, and Profit: Insatiable Appetites from Machiavelli to Madison".