I did this quickly so it’s not perfect but here’s a manual process I’d use.
LatticeSphere_BrianJ.3dm (10.3 MB)
It’s a puzzle relative to the pattern shape of course and Booleans will likely fail given the double curvature so if you need one closed solid, maybe do the whole workflow using a surface rather than a solid and then trim and join manually once they’re around the sphere. Then you can use OffsetSrf to make the solid.