As to the difference in question, this BSE quotation may help:
I know that Beziers, Nurbs curves and Paths have different controls:
Bezier handles have control over tangents, and the curve always touches the control point.
Nurbs curves don’t touch the control points, they just bend towards them. The curve doesn’t reach the first or last control points, but ends around the second/second-last point.
Paths are the same as Nurbs curves, except the curve continues to reach the first and last control points.
For more visit https://blender.stackexchange.com/questions/58709/what-are-the-practical-differences-between-beziers-nurbs-and-paths
In Edit Mode NURBS Order U is 2 to 6. I guess in Object mode better accuracy is not needed. And as Paths are used for animation this may be necessary.