Hi. I'm the creator of the site. Unfortunately, each time the globe orientation changes, the distortion caused by the projection needs to be recalculated. Tried to think of ways to make this faster or save computations, but haven't found any good solutions yet.
From a usability aspect at least, you could keep the same distortion until the interaction ends, and then tween the distortion values to the new orientation over a second or two. Technically it'd be 'wrong' for a short time, but it'd be nicer to use.
Not sure if it is feasible but a slider control for height would show the transition from high altitude (circulation currents) through to surface conditions really nicely. Hard to cache the animation I imagine.