> A typical city centre in Europe would have been the entirety of the city at some point and is therefore where the most historic buildings, oldest businesses etc. are located.
Well, the same is true in NA in lots of places, but I think the difference is something else: historic buildings imply that you can't just tear them down and build something nicer, and the oldest buildings in cities I've lived in, here in the US, are not the nicest ones; rather the reverse.
As someone who spent most of my formative years in the southern US, my expectation is that the nicest part of town is the one that was just built, and older streets and buildings are literally the ones where people have to be if they don't have the money to scrub that away and build shiny new things, or just move to newer places. This is quite a difference even from the northeastern US, so I can only imagine how stark the difference must be from the US to Europe. Oddly, while I spent a few days in Dublin a few years back for an interview, I don't remember noticing everything looking old and run down there.