Your first link talks about butter and other saturated oils, then there's a link about coconut oil (also very saturated) and abdominal fat and then a link about frying food.

There is no mention of, for example, linseed oil (which you should not cook obviously but which is great in a dressing or on potatoes ) or rapeseed oil (which is also quite heat resistant and great for sauteing). Both are great sources of both energy and omega 3 fatty acids and help to move the prroportion of omega 6 to omega 3 to the right. I'm personally not a fan of the olive oil hype but the mono saturated fatty acids and polyphenols also tingle some people's shlingle.