The Netherlands seems to do pretty well with segregated infrastructure?
In rural areas, segregated infra makes a ton of sense. Nobody wants to be near noisy, dangerous cars over 40mph. So they build separate bike and pedestrian paths in rural areas to connect the denser parts of the country without the need to get in a car in between.
Typical urban road... https://i.ytimg.com/vi/XuBdf9jYj7o/maxresdefault.jpg https://bicycledutch.files.wordpress.com/2020/08/cyclelanes0...
Mixed on a slow neighborhood road (30kph is 18mph)... https://coordinates.ce.gatech.edu/sites/default/files/images...
Completely separate bike path... https://bicycledutch.files.wordpress.com/2020/08/cyclelanes0...