While it makes sense that our brains could be structured in such a way that some things are easier to understand than others, I think it would be remarkable that it somehow filters out our understanding of the process of consciousness in particular.

I think that particular criticism is vague and ill-formed, but oft-repeated because it sounds good. After all, having a brain hasn't stopped us from learning about the brain, even though one might think it would be hard to learn about brains with brains.