Just FYI, at least germanies rods are also a patchwork. E.g. there are the Autobahns, which are financed by the federal state. Than there are Bundesstraßen (Yellow markings, typically something like B56) which are also financed by the federal state.
Then there are Landstraßen, which are financed by the Bundesland (state, LXXX). Followed by Kreisstraßen, financed by the Gemeinde (county?`).
Finally there are Gemeindestraßen, financed by the city or town.
There are lots of norms and regulations on how to build these roads, so there is not that much variance except layout. E.g. a bike friendly city like Münster has a dfiferent layout than say Cologne.
I think your last paragraph is the key one. AFAIK in the US a lot less is regulated on a federal level. Like in Oregon you'll rarely see reflectors on the lane markings whereas they are omnipresent in some other states.