The Question and Answer section for Fahrenheit 451 is a great resource to ask questions, find answers, and discuss the novel.
After the burning, Montag returns home, feeling ill as he relives the woman's horrific death. He begins to realize that although, over the past ten years, he thought he was serving society as a fireman, he was actually purely an instrument of...
Montag is a fireman.
This is tricky. Montag thought he was okay but deep down he knew he was not: he just was not conscious of it. So on the surface, I would say true to your question.