It is interesting that capitalism is getting rid of the idea of private property. I guess it is only private property for capitalists themselves and not the serfs?
What you are describing shows that segregated bike lanes are really the cyclists ghetto. Built to kick us cyclists off the roads that the motorists believe are theirs. Look at China, they are building them now, what has changed? Remember the images of the Chinese going to work by bike? Of course, they need to make room for the car. Something like that happened in the Netherlands in the 1940's. We see it happening now in China and other places in Europe.
Then the problem really is the car drivers that expect you to keep off what they think is their road, even if that puts you in danger (that expectation is given official support by the segregated bike path).
If I am riding in a narrow lane I ride in the center of the lane. If they don't like it they can suck it up. I don't like their smelly fumes either or their horn blowing for that matter. The problem is a society that gives all the privileges to car drivers.
I must be mad, riding my bicycle daily, on the same roads as cars for more than 15 years. 0 accidents. By the way, the simplest way to avoid a dooring accident is not to ride on the door zone. When I see a bike-only lane next to parked cars I take it as an indication of where not to ride. They make bike-only infrastructure to kick us off the roads anyway, not for safety.
What I find amazing is that in this capitalist world, these companies are really against private property (yours, not theirs) I am not sure if private property is in the definition of capitalism, probably not, so there may be no contradiction. But still it is really amazing.