Is it safe to bolt my single-speed chainring to the other side of the crank?
Looks perfectly safe to me.

In fact, it looks like that crankset's spider arms were designed to also be used as a double crankset for a bike with a front derailleur, with chainrings mounted on both surfaces. Note how the support "fences" inside the bolt holes have the same curvature to clear a chainring that the outside supports do.