In direct heart disease, possibly true, though I wouldn't go so far as "insignificant" Oils/fats are more in the circulatory system end. It is, like so many things, a combination thing. There is no "one size fits all" here.
I might agree with this if it wasn't from unreviewed sources. Information from one source or from anecdotal statistics must be researched before I will accept them. The "except for transfats" - which are the fats stated in most of the old information as being the real culprit - makes me wary of gobbling up a lot of fats from this incomplete information. The direct causes of what most think of as heart diseases is more from what happens in the veins and arteries, which means fats are very far from insignificant. An occlusion can result in what is commonly called a heart attack. It is not a place where the danger is restricted only to the heart itself.
Show me the backup research that includes the whole problem, not just one area.
I feel this kind of thing without explanatory information results in feeling secure that such as eating a lot of fats, so long as they are not transfats will not cause what is commonly caller "heart attack." This is only partial, and is, in my opinion, not a good thing to present without connective information.