A little more broken-back shoe support! But still an overwhelming no from most of ya.
The reason this bugs me so much is that the shoes pictured in that article look really expensive, so the message one sends by wearing them with the backs all stepped on is one of flamboyant privilege. (This is true whether or not they are actually designed to be stepped on). I mentioned this in my initial comment, and Gaylene remarked on it too. It says, "Look, I'm intentionally destroying my lovely Gucci shoes that cost as much as a week's salary for the average joe". I've no problem with people owning Gucci shoes, but ruining them publicly and deliberately shows a sort of tone-deafness with respect to the state of the modern world, in which the divide between the rich and the poor grows ever wider.
A kid stepping on the backs of her cheap keds because she's so focused on getting outside to play that she can't be bothered to put them on right, or a woman stepping on the backs of her old house slipper/shoes, is something else altogether. While I wouldn't do it myself, I think it's fine. Though in the case of the kid, her parent will probably tell her off because it's their job to teacher her that you don't treat shoes that way.