Sometimes I wonder if people show portraits of their lenses and process, rather than the person.
Depth of field is a control allowing photographers to show what they want to show in a frame. To shoot everything at f/wideopen I think is to severely limit oneself to a very small portion of the possibilities available.
But to each their own. I don't have to understand it for other people to enjoy it.
When I look at photographs I view them and wonder whether it's an interesting photograph or not. Then I view to look if I think the image is well crafted to support the photograph and its content or not. Depth of field? It's just one choice in a multitude of things to make up a photograph.
I should add that I think the above relates to any process related variable, like those who think choice of film is important, or who tone their images a certain way, or lith printing, or using some other exotic process. If the photograph at any point becomes about the process, then it's walking on thin ice. If the photograph isn't interesting to begin with, no process variable is going to help make it better. There are things about a photograph that are infinitely more important.