That's after the start date in 1444, so the HRE does not equal Germany for the entire EUIV timeline. Furthermore, the Empire did not receive the title "Holy Roman Empire of the German Nation" officially until the early sixteenth century. That term had been used as early as the 1470s, but it was not official until the Diet of Cologne in 1512. Even after adopting that title, however, the Holy Roman Emperor continued to use the title through the reign of Charles V, so up through the 1550s.
I cannot currently find the primary text which made the renaming official, but I will quote it if I can find it.
You can take a look at chapter one of
Germany and the Holy Roman Empire by Joachim Whaley here:
https://books.google.com/books?id=QXdPzWXCphkC&pg=PA20&lpg=PA20&dq=Diet of Cologne Holy ROman Empire of the German Nation&source=bl&ots=NM30zeHM4x&sig=ORCRJWxgvac_Lbwge6G1NSM2F48&hl=en&sa=X&ei=ZJpoVbOVKIntsAXAmIIo&ved=0CFgQ6AEwCQ#v=onepage&q=Diet of Cologne Holy ROman Empire of the German Nation&f=false
It is a good, succinct summary of the absolutely labyrinthine nature of the structure of the Holy Roman Empire in the fifteenth and sixteenth centuries. You can see the numerous contradictions between what the Empire was supposed to be
de jure with Maximilian I's aspirations to reclaim "rightful" power in Italy and Burgundy with what it was
de facto, seen for instance in the fact that the Holy Roman Emperor had not been actually crowned King of Burgundy since the fourteenth century. It also cites 1512 as the year in which the German Nation suffix was officially adopted.
Ultimately, the Holy Roman Empire became,
de facto, a very loose, weak German "state", but you have to be careful not to look at its history teleologically, assuming that the ultimate historical fate of the Empire was a predestined outcome which could not have been avoided. Had things gone differently, the Holy Roman Emperors might have made their rule in Italy and Burgundy a reality once again in the modern period.
