The juice had barely any orange flavor at all. I concluded that fresh-squeezed orange juice is overwhelmingly just water.
This suggests that it is in fact distinguishable from Coca Cola.
California oranges are for eating and have a clear, less sweet juice. And they don't produce much juice at all per orange. Florida oranges are completely different and are very fibrous and essentially inedible as a whole. But if you put them through a squeezer, they will make delicious, orange colored, sweet orange juice in huge quantities. Very much like the "fresh squeezed Florida orange juice" you get at the grocery store. Although, of course, much better. They aren't adding or concentrating that juice at all. It really comes out rich and sweet like that.
There are proper names for the different California and Florida variants, but they are generally colloquially distinguished that way.
It's strange, but I have never seen juicing oranges for sale outside of Florida. They are not as pretty and will appear splotchy and less bright, glossy orange. They don't look appealing on their own.