> Well, no, I mean, a photo which has been selectively blurred like this has _less information_ than we started with, so it's objectively telling us less, and that's why it's funny, that we are spending so much time removing information.*

You are confusing entropy with information. You can increase the information in an image by selectively removing everything that isn't relevant to some aspect of its viewing. By focusing on a subject our visual and cognitive systems don't have to do that work.