Probably 99% of the time I look at, or use, a map, it's at a scale where the Mercator projection is entirely fair, and highly useful. For probably half of the uses I have for maps, whatever distortion relative to an actual globe it introduces isn't even noticable. Then there are the rare times I look at a map at something approaching hemispheric scale. But come on, people, I've been told since 4th grade about the distortions of a world map at that scale. I literally can remember Ms. Kraft in 4th grade explaining how the map made Greenland look nearly as big as Africa, when in fact it was more like the size the larger countries in Africa.
And, anyone who has traveled internationally much at all is well aware that, say, Europe is a hell of a lot smaller than it looks on a world map - because we fly, for the most part, great circle routes, and flight times give you a very good measure of how far things are. First time you look at a flight to Sydney, the size of the Pacific Ocean, relative to the North Atlantic, pretty much hits you over the head.
So, while I find articles like this kinda fun for a couple of minutes (what strange comparison will this author pull out of their hat to make the point that flat maps distort world persectives?), it's mostly for entertainment value. There really isn't much to see.