Your cycling fallacy is…
“People cycle on footways, causing danger to those walking”
Although cycling on footways can be prevalent in some areas, it is almost always a symptom of poor conditions for cycling.
The best and most permanent way to tackle this problem is to create attractive places for cycling away from the footway, either in the form of cycleways separated from motor traffic, or by making the road itself a pleasant place to cycle by reducing the speed and volume of motor traffic to a low level.
And while cycling on the footway can be genuinely annoying, scary and inconvenient for those walking, the danger it causes should not be overstated either – the vast majority of deaths and injuries on the footway are due to motor vehicles. People in the UK are over 50 times more likely to be killed by someone driving a motor vehicle on the verge or footway, than by someone cycling.
Source: Image courtesy Simon Nutall / Cyclestreets (CC BY-SA 1.0)
Busy cycleway on Blackfriars Bridge in London
One of central London's busy cycle routes in the morning rush-hour
Source: As Easy as Riding a Bike (Copyright, used with permission)
Source: As Easy as Riding a Bike (Public domain)