You can make a stronger statement. It's not that people fall short of the perfect standard of being unbiased because of some property of brains. It's that there is literally no unbiased perspective to be had in the world.
Everything, even the most fundamental and primitive sensory details of the world, are crucially dependent on individual perspective. They do not exist without it.
Indeed. I wasn't thinking about it this way, but you're right. I was thinking about the ways in which we bias the information that we receive.
However, the information we receive is heavily biased by virtue of being heavily selected by our environment.