The philosophical question here: is a stereopair of 2 near-orthographic (near side general Projections still a projection, or is it only a globe, if it's tactile?
In general I would prefer the CanvasRenderingContext2D way to handle this simple display use case, since it looks cleaner and more predictable across devices on screen and doesn't keep your gpu busy when not animating anything.
But it's perfectly possible to create geodesically-correct buffers, for example - such as you might see when calculating ballistic missile range over thousands of kilometres - in a 2D projection, and indeed this has been available for decades. And we have plenty of global models, such as WGS 84: https://en.wikipedia.org/wiki/World_Geodetic_System
So what exactly are you talking about?