Have you heard of "The Copenhagen left"?
It's a method for a cyclist turning left at an intersection. Turning left from the bike lane on the right is of course impossible, because the land is on the right, despite being a basic function of biking somewhere.
So the cyclist wants to turn left. They go through the intersection and move off to the side, near any pedestrians waiting to cross. When the light turns they and the pedestrians can cross.
Otherwise the biker must leave the bike lane and merge across traffic.
In either case the bike lane is inherently problematic.
Your unexamined premise is that the car lanes are natural and good, while the bike lane is a problematic imposition on them.
"Turning left from the bike lane on the right is of course impossible"... if there is a lane of fast-moving automotive traffic directly on the cyclist's left. From the cyclist's perspective, the car lane is the "inherently problematic" one.
I don't think it's fair to say either is inherently problematic, just that there is inherent conflict with different mode types. Then, imho, you ought to look at the overall social cost/benefit of each mode type and prioritize accordingly.