I skimmed through the article. To me, however, it IS as simple as eating when hungry and stopping when full, whatever the science behind the whole thing.
The crux of IE though is perfectly described in the article's conclusion:
"Either way, keep in mind that intuitive eating is a package deal — the practices of conscious attention can’t be separated from the “eat what you like” philosophy. You can’t just cave in to cravings without being willing to question them first.
Nor can intuitive eating be practiced effectively in a vacuum devoid of sensible food practices. For example, Haas notes, “Planning ahead with a good menu enables you to have healthy foods available when you need them” — something that may be tough to pull off if you always eat on the spur of the moment."
In other words, we still need rules. For me, the best part of IE (though I cannot claim to practice IE completely as I do not follow mindful eating practices) is that the simple rules have become such a habit that I don't even think about food anymore unless I feel hungry and when hungry, I eat what I crave but do adopt sensible food practices. Usually though, what I crave is quite sensible as far as my eating habits go.