I understand the difference in theory, but does it make a difference in practice?
If I have 10 cities all size 2, and they are all connected to the capital and have a colosseum, I have a happiness balance of -20.
If I have 10 cities all size 2, and they are all connected to the capital and have a monument and temple, I have a happiness balance of -20.
I understand that colosseums, theatres, and stadiums (but circuses?) cannot provide more happiness than the population of the city they are built, and in that sense the happiness they provide is not global. So other than a caveat not to rush buy (or somehow build) these buildings in cities smaller than 2, 3, and 4 respectively, what's the point of what I quoted? I assume I'm misunderstanding some nuance.