Hmmm, I've used cycle paths, and generally don't like them. If they're just a line on the road, the cars ignore them, or park on them. If there's a nice little kerb thing between the cycle path and the road, cars still park on them, and also don't see you, so feel even happier turning left through you. Pedestrians also try to walk through you (particularly if it is a two-way cycle path, on one side of the road, so bikes are coming from the 'wrong' direction).
I guess I don't actively mind the little drawn on ones, but they don't do anything, and they're forever appearing and disappearing, so I really don't see the point.
Oh, and I really hate shared cycle/pedestrian paths, with a lovely line down the middle. Because, yeah, pedestrians are trained to care about lines on the path. So they completely ignore the line, and you get to spend your time dodging pedestrians. Who, let's face it, don't exactly indicate when they're about to swerve randomly or gesticulate or whatever. And pedestrians of course can be 3 years old, or drunk, or blind. I don't really want to share my space with those people.
I do use the local towpaths a bit, more so now there are lots of signs up getting cyclists to ring their bell before going under bridges, as this seems to have reduced the chaos there a bit. We do have some nice provisions locally for cyclists, but they have a wide range of gates on them to keep motorbikes off, some of which mean I have to take apart my bike to get through.
But mostly, I am happiest on the road.