@ChrisMcClain As an infographic, it doesn't. But if you want to join your GeoAnalysis output into it through your GIS of choice, then it makes sense to try to keep it visually correct with uniform hexagons.
And if you want to display the infographic in an embedded map as an overlay for some reason, it needs a spatial reference.
Output as a jpeg added to a Word doc, then no, no projection needed.