Personally I think most of the obsession comes at the "f/64" end of the scale.
One of the great joys for me in using a Holga on occasion is that it adds some personality to the generic snaps I take of life around me. Sure my F5 with a 50mm f/1.8 can get me a sharper, better focused, better exposed, shot; so what, the Holga shots have great character. Center the subject, get close on focus, use a forgiving film and I get a negative that naturally focuses the attention in a print on the subject.
Old Petzvals do the same thing on LF cameras.
To me the quest for edge to edge perfection is distracting. I think this is one of the things that bothers me most about most of Ansel Adams work and digital.
I don't wish to imply that corner to corner sharpness is good either, as I often find those photographs very cluttered with things and difficult to figure out what the photograph is actually about, because there's too much stuff that's sharp. Aperture, to me, is a tool, where I can choose what I leave in focus and what I leave out, in order to emphasize the meaning or importance of things in the frame.
"Often moments come looking for us". - Robert Frank
"Make good art!" - Neil Gaiman
"...the heart and mind are the true lens of the camera". - Yousuf Karsh