It was explicitly legalised because until then the law wasn’t clear, despite it being normal practice.
What are you on about? “Jaywalking” as you put it (are you American?) is only illegal close to a pedestrian crossing. Elsewhere it’s just called crossing the road.
Pedestrians crossing the road should look using the eyes in the front of their heads. No additional eyes are necessary.
Bicycles are legally required to have bells, and cars are also near silent.
These sentences just don’t make any sense together. Are you talking about left-turning vehicles or vehicles turning or changing lanes generally? Indicating never grants right of way, regardless of bicycles, it is a signal of intent.
The law on cyclists being allowed to pass on the left has reference to the case of left-turning vehicles, in which case cyclists should not pass on the left. Unfortunately it is common for cars to overtake cyclists and immediately turn left, forcing the cyclist to brake and/or swerve. That’s just bad driving, regardless of whether there’s any indicating.
It is also often the case that a vehicle is attempting to turn left through a stream of cyclists. Whatever about the law or sensible cause of action for cyclists (I wouldn’t pass on the left in this case, even if it was legal), the driver still has a legal duty of care to avoid an accident, which means in practice waiting for a gap. Anyone incapable of understanding this really shouldn’t be in charge of a motor vehicle.