Damn, I had to use ****** bootleg to see it. Perry takes the paper. First page - "SUPERMAN IS DEAD" with footage from the official ceremony. He then flips a few pages and there's a much smaller article - "one of our own Clark Kent will be missed". Means there's no connection between them. Means he still can return as Clark Kent, if, for example, government will decide to help him with cover story. It seems, the world doesn't know Superman is Clark Kent.
That being said, he can return as a Clark Kent in future movies, for example, another solo Superman film. But I think it's not needed. He will be constantly Superman. Maybe he will even reveal his real name as Kal-El. And he will be living on Earth just like everyone else. Without alter-ego.