Update: Used 1.8.7 in Blender 2.79 and the problem was resolved. I don't like 2.79's interface, but it's a sacrifice I'll have to make, I suppose. Hopefully, this will be patched for 2.8 someday.

In Blender, after editing the mesh, to export go to Add > Mesh > Save Rhino Object Inside Rhino, to prevent duplications, delete the old mesh (read note) And to import the new mesh, Right-click the ...