Having been a motorcyclist when I was younger and ostensibly more reckless (not that motorcyclists are more reckless) I can tell you from experiance that you have very little getting in your way visually. However in a car you have two pillars holding your roof up to your immediate left and right, and door frames and boot pillars over either shoulders.
As a motorcyclist you have way more situational awareness than other vehicles on the road.
You also quickly learn that other road users are blissfully unaware of you and you drive accordingly.
I've never worn a motorcycle helmet, but the visor seems so small that you'd lose some of the peripheral vision.
I agree that it would often be the car at fault, but as a cyclist I wouldn't care who was at fault I'd just want to avoid the crash. I'd only crash into the car if my peripheral vision missed the car.
> we solve them by designing intersections such that they can't happen.
I agree, but I don't want to wait for governments to fix every single bad junction that exists in the world.