Is that the case in the winter too? I just started bike commuting in SF and have been wondering how it works in bike oriented colder countries when it starts raining/snowing.
I use mine for every trip longer than a 5 minute walk and less than a 45 mins bike ride. That encompasses the whole of Amsterdam and its outlying suburbs.
In bad weather, people have suitable rain gear and accept getting a bit wet. Or cycle with umbrellas. As the Dutch say, "there's no such thing as bad weather, just bad clothing".
But yes, the cycle paths are ploughed (often before the roadway). Nevertheless, bus and train use increases.
For cycling a long time in the rain, some people use overtrousers or other waterproof clothing.