Your cycling fallacy is…
While driving behind someone cycling is going to slow you down if you’re in a car or on a bus, it is unlikely this is going to add any overall delay to your journey. Congestion on roads is due to motor traffic, and in particular, queues at junctions. You will arrive at the tail end of that queue in exactly the same position – driving behind someone cycling has not cost you any extra time.
In general, congestion is nothing to do with cycling, but is a direct function of the volume of motor traffic on the roads. Were this not the case, then we would only see congestion on urban roads, and never on motorways (where nobody cycles).
Reallocating space on roads for cycling will actually make roads more efficient at moving people – a typical motor vehicle lane can carry around 2,000 people per hour, but the same space allocated for cycling infrastructure could carry around 10,000 people per hour.
New York City’s Protected Bike Lanes Have Actually Sped Up Its Car Traffic from FastCoExist
Capacity from The Cycling Embassy of Great Britain
Exploring the link between the neighborhood typologies, bicycle infrastructure and commuting cycling over time and the potential impact on commuter GHG emissions from ScienceDirect
When Adding Bike Lanes Actually Reduces Traffic Delays from CityLab
The effect of cycle usage on traffic jams from A View From The Cycle Path
Controversial cycle lane boosts traffic flow from Calgary Herald