Sketchup is a polygon modeler. Alibre is a NURBS modeler. The last time I looked, Alibre used the ACIS modeling kernel. Did they change something?
A polygon modeler only makes little flat planar surfaces that "represent", at some resolution, a curve. A NURBS curve or surface is a mathematically precise definition of the curve or surface. For machining, you will always want to choose the NURBS option. For 3d printing, you would still want to use the NURBS option to model, then Mesh your object to a polygon format, at the required resolution. If Alibre is saving to STL, then it is doing this conversion then. The Ideal would be if Alibre is allowing you control over this meshing to Polygons, or if it just doing something "automatically" and presenting something to you in the end.
FYI.