In this case, in order to find a model game, you need to identify the experts of the Cozio defense 3...Nge7. Sergey Arkhipov is for sure the main supporter of this move, as it is his main defense against the Spanish opening, but frequent players include Antoaneta Stefanova and Levon Aronian.
I couldn't find a game where 4.d4 was played against Stefanova or Aronian, but I found two against Arkhipov. One is a nine-move draw but there remains one that can serve as a model game.
Arkhipov didn't exchange everything on d4, giving White a lead in development. Instead, he fianchettoed his king bishop. It might be a matter of taste, but this variation looks slightly safer to me than 5...Nxd4.
I couldn't find a game where 4.d4 was played against Stefanova or Aronian, but I found two against Arkhipov. One is a nine-move draw but there remains one that can serve as a model game.
Arkhipov didn't exchange everything on d4, giving White a lead in development. Instead, he fianchettoed his king bishop. It might be a matter of taste, but this variation looks slightly safer to me than 5...Nxd4.