I don’t remember the source, sorry
Oils are unhealthy? I’m…pretty sure that’s not true. Olive oil and coconut oil are both great for you. Other, more obscure oils are probably healthy as well.
I’m afraid oils are pretty dang unhealthy. See 1, 2, 3,, and more here.
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.