Of course. I'm not saying we lose all consciousness and completely shut down, but our consciousness does stop working properly (sight, smell, touch, memory, etc. all seem to stop for a brief moment). So how can that be if consciousness isn't dependent on the brain?

If I understand correctly, that is a common religious view - our consciousness isn't a product of the brain, it's an immaterial thing that can survive the body's destruction. So how is it that slight damage to that body can also damage the consciousness?