If the stream of data that is our 5 senses of reality is devoid of statistical significance of any kind, how do you propose our brains can learn anything?

Of course, brains as we know it (or complex systems of any sort for that matter) would not exist in such a reality.

In other words it is first and foremost the presence of complex statistical relationships inherent to data/reality that facilitates emergence of other complex systems. Such as the notion of "intelligence" and brains.