The reason for the damage is entirely due to the receiver behaving/being differently, be it your eyes or your camera, because they get tricked into thinking it's dark and they act like it, being much more receptive and then overwhelmed.
For example, if 90% of the sun is covered by the moon, then only 10% of the usual amount of sunlight will light up the area around you. So it is quite a bit darker than usual.
However, the portion of the sun that is still visible is just as bright as it would be on any other similar day. If you stare at that remaining portion of the sun, or aim a camera at it, it will cause the same damage as it would any other time, only in a smaller crescent-shaped area instead of a full circle.
The danger to your eyes is even greater, because the overall darkness tricks your irises into opening up wider and letting even more light in than usual.
You're pretty unlikely to stare at the sun for 30 seconds on a normal day. But people do that during a partial eclipse, and that's the problem. Similarly, people don't usually aim their cameras directly at the sun with the lens wide open and no solar filter - except during an eclipse.
A total eclipse is quite a different thing, of course. During totality, the sun's bright photosphere is completely hidden, and only the much fainter corona is visible. This is only about as bright as a full moon, and it's perfectly safe to take pictures with any lens, and to observe directly with the naked eye - even with binoculars.
This is a really bad example :DDD
I don't think that is totally true for human eye. You can test it by putting a LED spotlight in front of you at night, and have someone else check your pupil before and after you turn on the LED (And remember test it in different distances).
Camera works differently, they have multiple ways (Metering Modes) to test the brightness of a scene. So how it work will depends on the selected Metering Mode.
And camera can collect more light by letting light keep entering the light sensor for longer time. Plus, bigger lens can also collect more light, some people may even mount their camera on a telescope, thus more light entering. So maybe this is the physical reason why so many gears got destroyed?