I agree that the wrap dress is timeless (though certain prints, notsomuch), and would be a great timeless classic to add to a wardrobe that would work for many things.
I agree that it looks best on curvier figures rather than fashion models and teens.
Sadly, it is not a dress for all women.  I say this as one that looks rather horrifying in a wrap dress.  It hits me in all the wrong places. Alas!