no the big deal is not that it's distorted, the big deal is that the shape is not the same.
if you put a huge, equilateral triangle where greenland is irl, and then you look at the triangle in a mercator, or equidistant projection, the equilateral triangle is not a equilateral triangle. So if my nation has a shape 'f' irl, and then i put it on the equidistant map by just copying and pasting, it will be wrong, because it is not supposed to look like shape 'f', it is supposed to look distorted. If i put the nation as shape 'f' onto the map, it will look completely different irl, and if i draw a equilateral triangle on the equidistant map close to the poles, irl, it will not look like a equilateral triangle. I don't have a problem with the distortion, i have a problem with the non-ability to have the correct distortion.