Now I wouldn't touch coconut oil for several reasons.
An awful lot of that is produced industrially in countries that don't yet have the same sort of safeguards in place as the EU . It's refined, bleached and hydrogenated.
I also think that there is a lot of hype that has gone into suddenly promoting as a 'health food' in the last few years.
Two articles to consider
One extolling it (doesn't like the wiki article which obviously changes frequently )
http://www.thehealthyhomeeconomist.com/coconut-oil-blackballed-by-wikipedia/
one a report commissioned by the New Zealand heart foundation ie trying to investigate what sort of fats are in coconut oil ,the evidence for it's effects on lipids and the evidence for various claims(particularly relating to heart diease)
https://www.heartfoundation.org.nz/uploads/Evidence_paper_coconut_August_2014.pdf
Even if some of the claims were valid and the virgin coconut oil came from an impeccable source (ie not some unknown company advertising on Amazon) the oil will have travelled half way around the world. I prefer to eat things that can be produced reasonably locally and seasonally. I can grow olive trees in my garden (well ,I've got three tiny ones that even after 12 years are still tiny and only produce about 10 olives between them each year . They really don't like the odd night at -14 in winter)
Coconuts; not a chance of growing them. I can buy olive oil produced within a hundred miles of here. Even if my oil comes from Spain , Italy or Greece it hasn't come that far.
I am always suspicious of any claims that a particular food is a 'superfood'. However, I have read so much more recent research regarding edible fats and the problems now associated with carbohydrates that I am personally more inclined to accept the recent trend towards endorsing LCHF, including an increase in the consumption of saturated fats in the diet, including coconut oil. You can't focus on one ingredient exclusively and that's where I think both the reports linked to fall down. In my case I decided to rebalance my Omega 3/6 consumption ratio so I still consume polyunsaturated fats, but I have increased my mono and saturated fat consumption as well. I am also trying to increase my EPA and DHA Omega 3 components (via fish oils). This means I have stopped using sunflower oil entirely and replaced this with primarily cold-pressed rapeseed oil for frying and general cooking. But I have introduced coconut oil into my cooking, not to replace anything but to supplement and for the flavour which I really like, especially in curries and other Asian recipes. And of course I have reduced carbs by about 90%. On top of that I try to eat more oily fish and also take a fish oil supplement. I'm also doing more exercise. You need to consider all these activities to form an overall picture. I should get my next blood test results in a few weeks - can't wait to see if there is a significant change over the last 6 months.