But I find that most people, when they say that, actually mean reduction of suffering. That's easier to quantify--but still quite difficult, like most quantities in social research.
Could you explain to me how this is not another name for happiness?
You are happy to receive good news, or for something to turn out well, or whatever else. But it is not a resting state. It's a liminal state. Contentedness, by contrast, is a resting state. You can awake contented, fall asleep contented, and spend your days contented. You may rarely, if ever, experience happiness - yet find yourself able to find satisfaction in life nonetheless.
By contrast a pitiful, depressed, self loathing individual, can experience happiness as much as anybody else. But he is most certainly not content nor satisfied. Perhaps a junky would be another example. A junky certainly experiences happiness when his poison enters his veins, yet he almost certainly is far from content or satisfied.
Contentedness is not happiness. And happiness is most certainly not contentedness. They're are just entirely different states of being.
Second, "happy" and "happiness" subsume numerous meanings. You're picking one, and as I and others have, at times, done with many other words, trying to restrict the world to only that meaning.
Perhaps a more similar word to your meaning would be "joy"? It seems more generally restricted to descriptions of brief periods, in common usage.
The words are simply not synonyms, or even particularly close to being synonyms.
Happiness is not a metric, cannot be measured, and is one of the most important things
Despite it being unmeasurable we know that economic security increases it
Contentedness, satisfaction, at-peace, and so on - there endlessly more rational, logical, desirable, and attainable things to aim for. Yet everybody always says happy. Maybe this even goes some way towards explaining the plummeting mental state of the West at large. If one sets their life goal towards happiness, then they're ironically certain to end up unhappy, unsatisfied, and discontented.