Note also that this finding strongly suggests that neural net architecture actually is quite important, possibly even more important than having more data -- which contradicts the conventional wisdom!
A typical toddler (say 12 months' old) has spent 4000-5000 hours with open eyes. Even if you assume a low frame rate (10fps), resolution (1080p), and a 1000:1 compression ratio, that's still 1TB of training data.
So what makes this result possible is not the architecture of NN in CNN but rather architecture of C. That allows us to get multiple samples from single image. The rest is just that actual content of the image is easier to learn then the noise.
Brain is almost nothing like CNN.