Tools like this one might be better at highlighting the flaws of map projections, but I don't see how anything could be better than a globe at showing the true

Tools like this one might be better at highlighting the flaws of map projections, but I don't see how anything could be better than a globe at showing the true relative sizes and shapes of countries, since it shows them as they actually are. In what way do you feel the globe doesn't show the differences between countries well?