The eyes see a 2-dimensional picture. Computer displays produce a 2-dimensional picture. There is no such thing as a “3D map” on a standard computer display. Only an orthographic (or maybe perspective) projection which animates in response to user input.
In general an orthographic projection is a poor choice. The thing going for it is that it is easy to understand by analogy to a physical globe, and human spatial understanding can partially compensate for the distortion by imagining a sphere.
But there are also disadvantages, for example on an orthographic projection north is not always vertical, latitude and longitude lines are neither perpendicular nor straight, shapes and areas can be very dramatically distorted near the edge of the map, there are dramatic distance errors between far away points or points not in the center of view, it is impossible to view more than half of the planet’s surface in one view, etc.
There are many other choices of map projections, and for any particular purpose, some other projection is usually better.