KenC
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I haven't researched the history of ROT the way Andrew has, but this classic book on composition - Pictorial Composition (Composition in Art) (Dover Art Instruction): Henry Rankin Poore: 9780486233581: Amazon.com: Books - doesn't even mention it. The most important aspect of composition according to this book and others is balance, which some photographers toss out the window in order to follow ROT.
There has been some scientific studies of how an eye moves through a composition that add more weight to the rules of composition: how the eye enters the image and whether it moves to the subject of the photographer or not.
To put it super simply: There is NO visual emphasis on a subject in a balanced image, only if the rule of thirds is used.
As to your first point, Arnheim's classic work, Art and Visual Perception - Art and Visual Perception: A Psychology of the Creative Eye: Rudolf Arnheim: 9780520243835: Amazon.com: Books - doesn't mention the ROT either.
As to the second point, there are many paintings (and photographs too, for that matter) that are balanced, don't follow ROT (at least not Andrew's Version 2, which is the way photographers typically mean it) and yet keep the eye moving and generate interest very nicely. Unbalanced images of course can do this also, by using the tension caused by the lack of balance.