> People have this strange idea that running a red light is strictly worse than breaking the speed limit.
If you mean the posted speed limit, it usually legally is since the posted speed limit is, in many legal regimes, not actually a mandatory limit, whereas the red light is.
> I also think it's worth noting that many intersections are designed for cars.
Yes, particularly, the relation between normal speed on the road, the distance at which the signal is clearly visible, the timing of the signal, etc., are designed to provide cars, bikes, pedestrians, etc., crossing the intersection safety from, particularly, cars passing through the intersection in other directions. Bikes, pedestrians, cars, etc., violating the rules governing entrance to the intersection are negating that design.
> The safe way to proceed through those intersections is not necessarily to behave like a car.
There's probably an argument that it is in some circumstances safer for a bike to behave like a pedestrian than like a car, sure, as both the size and speed regime may be closer (especially, in the latter case, when coming off a stop) to the former than the latter.
OTOH, there's a reason that pedestrians generally aren't supposed to cross against lights, either, so that doesn't really justify blowing through a red light.