Outside the US I'm not sure "living at the college" is as much of a thing.

Plenty of countries going to college and moving out of home are different events that happen at different times.

That seriously depends on where you live in relation to the school you want to go to. It's really the same in the US. One difference is that I'm only aware of the US having the land grant system where many large state schools were given chunks of land away from any city to start agricultural colleges. That leads to the situation where many large and prestigious universities are nowhere near where people live, so you really must live at the school.

Sure, as with anything that is geographically constrained. In Australia all the most prestigious universities are in the major cities.

Same with Asian (Singapore, Taiwan, Korea, China, Japan) universities as well. I believe Europe is similar.

The "move away for college" is very much a US piece of culture.

Which further reinforces that college is extended adolescence, subject to parental supervision and control.

If we want college students to have the rights and freedoms of adults, then they need the means to support themselves.

No, many move out during high school. Many move out after university. They are seperate events, not in any set order.