Question

Because map prohections must turn a 3-D world into a 2-D map, they will always have the problem of

Answer 1

basically just distortion

Because map projections must turn a 3-D world into a 2-D map, they will always have the problem of: distortion

Converting maps from 3-D into 2-D will often cause some sort of misshape of the map, even though the distance and the size projection between the maps maybe accurate