It should, but I mean this sincerley, I'm not sure a significant number of football fans would understand the principle.
It took a good couple of years for people to realise that DRS should only be used to correct a howler, rather than as an instrument to locate the perfect decision. I believe rugby is also similar in that the referee indicates his decision and then asks if there is any compelling reason to reverse that judgement.
Isn't that essentially the same as the 'clear and obvious mistake' concept anyway...