I actually live in Denmark and our system of cycling and cycle paths is brillant. But it appears that we have a totally different attitude to cycle paths to some UK cyclists. It seems that when councils in the UK put in cycle paths, some cyclists think their civil liberties are being infringed. In Denmark we welcome cycle paths and often have parties when they are opened.
The law in the UK doesnt help. In Denmark if there is a cycle path you must use it and we are glad to do that. In the UK cyclists can make their own minds up if they use them or not. Im sure that cannot help motorists or cyclists.
We have presumed liability in Denmark but it is not a big issue but it makes cyclists King of the road. Because cycling is so popular in Denmark, drivers are very aware of cyclists. Most of them are cyclists or have family that are. We dont have the animosity between cyclists and drivers that you seem to have in the UK.
But if cyclists are provided with a cycle path like that on the video and then other cyclists advise other cyclists not to use it. Then you will never get it sorted in the UK.
This is a cycle path on the way home from work. I know where I prefer to ride.