Yes I believe that is the reason. Not a perfect analogy but I guess the point is that a nation can be united from what used to be a collection of fiefdoms.
I guess Italy would be a better comparison, because that didn't used to be a nation. Germany was united by culture and language for a while. (Only 1 in 40 people spoke what later became standard Italian upon unification.)
But I guess Germany is the more aspiring role model.