What does it mean, "as accurately as possible"? Is that stretched-out Brazil accurate? Or that shrunk China? Pretty sure a lot of areas of this map aren't very accurate.
So: this map has very good properties in some sense, very bad in others.
This map may solve some imaginary problem of public perception, but at the cost of losing valuable information easily gleaned from other maps,like northern and southern hemisphere, which places share the same latitude, which places share the same longitude. These are physical distinctions which matter.