[belorn]

This is how people rationalize, but there is one problem with it. When it no longer convenient to see bikes as dangerous then people instantly stop doing it, as accident data actually show extremely few cases of bikes causing injury to pedestrians outside of intersections.

This is shown directly by city planners. When construction closes down bike lines or walkways, which ever remains get temporarily converted to be both bike and walkway. Since that doesn't carry any increase in risk, it is safe to do so.

Similar, parents with strollers often use bike lanes. During winter when the road conditions is at its worst you often see strollers on bike lines. No one acts as if this puts the baby at mortal danger. Statistics also support this since bikes crashing into a stroller is unheard of.

However lanes that share bikes and pedestrians make people feel unease. The low speed and short breaking distance of bikes allow them to avoid causing accidents, but it doesn't remove the fear completely. Thus Swedish city planners don't generally combine pedestrians and bikes unless there is a good reason, like construction.

[aikinai]

Your point is backed up by the custom in Japan. Most cyclists stick to the sidewalk and there are of course some accidents, but it's nothing to be particularly concerned about and it works fine even with incredibly high cycling rates.