You have a reasonable hypothesis - unpredictable behavior is the key factor driving safety and bikes should always follow laws designed around cars.

The next step is to look at data.

Data shows that cyclists need to yield at busy intersections, but if it is safe to cross at a point in time, they should - red light or not. Less fatalities that way.

Green lights are still very dangerous and depending on the traffic at an intersection, red lights can be safer than green lights. Crossing an empty intersection at red or away from an intersection is safer for bikes and pedestrians than crossing a busy green light.

Unfortunately, when you are at a red light, you just don't know how busy the next green light will be.

Drivers can't follow the same logic because cars are the reason roads are dangerous. If you are in a car at a red light, there is at least one weapon at that red light (your car).