The Problems with an Earth Map

So today in class we discussed the Mercator and Peter's Earth map projections. Although technically speaking, both projections are wrong, Peter's is proportioned closer to what it should be then Mercator's. A lot of people were stunned when they found out the common map we had been using since kindergarten (Mercator's), was less accurate than Peter's projection. Peter's proportions the continents and countries more closely to what it would be if you were to spread our ball earth into a flat map. Neither maps are correct in proportion terms cause they're not globes precisely representing the spherical earth we live on, but Peter's should be used because of its corrected proportions. Another "benefit" to Peter's projection is that if you want you can flip it upside down to account for the relativity of Earth from a different perspective. Peter's projection has started to come into some schools though. In Massachusetts they have started making it so Peter's projection is the standard issue map. Will other states and schools follow suit? But why use inaccurate flat maps and not a globe, come on guys.