Center Counter is the old (1800s) name, Scandinavian is the new (1900s) name. Lutes always prefaced his openings books with some historical material, so for example his McCutcheon book covers early history of the French, his O'Kelly book covers early history of the Sicilian, etc.
Quoting from W. John Lutes
Scandinavian Defense: Anderssen Counter Attack (1992, 2nd edition) :
Quote: Jaenisch was also the first author to style the opening as the "Counter Center Gambit," or as he called it: "du début des pion du centre, improprement appelé 'Contre-Gambit du Centre.'"
-- page 5, referring to Jaenisch Analyse nouvelle des ouvertures du jeu des échecs (1842-1843)
Hmm, Jaenisch seems to be saying it is "improperly" called that, therefore someone else was calling it that before him. Anyway, pressing on ...
Quote: The entire defense, in all its ramifications, was repeatedly played and analyzed by Gustaf Nyholm, Gustaf Collijn, Ludvig Collijn, Fritz Englund, Karl Berndtsson, and Erhard Björklund, as well as many others. These Scandinavian masters completely reshaped the defense into an exciting and interesting asymmetrical opening. Their monumental analysis appeared in the Lärobok i Schack, in 1912, and again in 1921, as the "Dambonde mot Kungsbonde."
In honor of their work, the defense acquired its European denomination of the "Scandinavian Defense." The new name first appeared in the 1916 edition of the German Handbuch des Schachspiels (p. 820); where Carl Schlechter says of it that "... this opening under the name of the 'Queen's Pawn versus King's Pawn' had, for a long time, been considered inferior play, as after 2.ed Qxd5, White gains a move by developing his Knight and attacking the Queen. Thorough analysis by Northern amateurs has, however, since established its playability and soundness."
-- page 9
Despite having learned the name as the Center Counter from some old books, for a long time now I have called it the Scandinavian Defense, in recognition of those analytical contributions. I think old chessplayers deserve to be remembered.