It is important because the language, "fitting and proper," comes from the Latin phrase dulce et decorum est, pro patria mori. Loosely translated, it means "it is altogether fitting and proper that a man lay down his life for his country." A particularly appropriate theme for the dedication of a cemetery.
On the Library of Congress website, the Nicolay draft includes the words, In all propriety. But it also says it is not known if this was the speech that was read.
That is the way I learned it. I, too, hesitated over the new phrase but then passed it by.