All your questions can be answered with "Switzerland has a functioning railroad" (for public transport).
Compare the modal share between Zurich and Frankfurt [0]. 44% of travelers in the Frankfurt area use a private motor vehicle, whereas only 21% do in Zurich.
[0] https://en.wikipedia.org/wiki/Modal_share#Metropolitan_areas...
Cities are clogged by any kind of vehicle period. Particularly delivery trucks will run into issues in the future as more and more European cities start enacting low emission zones/diesel bans inner-city [0], yet the overwhelming number of delivery trucks are diesel.
> Transportation of goods is more problematic on the inter-city level.
Inter-city has rail and lorries with trailers, both do not work inside the city where every extra vehicle leads to extra congestion due to the high density of everything.
> Unless Switzerland's traffic is looking completly different from what I know from Germany of course?
Berlin, Darmstadt, Hamburg and Stuttgart already have diesel bans and low-emission zones inner-city. In most bigger cities driving into the center is an exercise in frustration, not just due to congestion but particularly due to lack of parking spaces.
[0] https://www.transportenvironment.org/wp-content/uploads/2021...
Here in the Netherlands, it seems electric delivery vans [1] and cargo bicycles [2] are becoming more and more popular.
[1] https://www.ttm.nl/wp-content/uploads/2019/04/DHL-Goupil-met...
[2] https://www.emerce.nl/content/uploads/2017/05/PostNL.jpg