I, like flopsy, am also working my way through the stories, as is Sebastian, I think.

And, like flopsy, using the icon, I can tell at a glance which ones I have read, so a 'shuffle' wouldn't bother me at all.
I think it might actually be beneficial, since some people will never get through all of the stories, and the ones at the top will get most reads. While I agree it is more of a personal challenge than a 'competition' it would be a shame to see those stories always at the bottom of the list get more or less ignored.