This article is very hard to draw conclusions from. For one, when they talk about frying, are they literally meaning deep frying / pan frying, or also including sauteeing and similar? Secondly, for Americans at least, they don't mention canola/rapeseed oil at all, and that's by far the most commonly used here. Thirdly, most people have absolutely no clue how hot their pans get when they cook, but I suspect the majority have burned butter or smoked their olive oil. Fourth, I know peanut oil is very common in Chinese/Asian cooking. I wonder how it fares.
We use coconut oil for a lot of stuff (high heat in pans, but also for baking & grilling), and olive oil for the rest.