Albert certainly had no interest in fame; as Hagrid had said, he was already famous enough.
It was just that the renown he had gained from killing Voldemort didn't sit well with him. After all, he was never someone who enjoyed fighting and killing. If he could achieve worldwide fame like Miranda Goshawk instead of relying on murder, that would be even better.
Of course, there were many reasons why he was compiling a Defense Against the Dark Arts textbook, and fame was merely a byproduct.
Chapter 1422