"I don't find myself lobbying for projects. Filmmakers almost always come to me"

This quote by Carter Burwell suggests that he does not proactively choose projects to deal with. Instead, he favors to wait for filmmakers to come to him. This could be interpreted as an indication of his self-confidence in his work as well as his ability to draw in filmmakers to him. It can likewise be seen as an indicator of his humbleness, as he is not actively attempting to advertise himself or his job. It could also be seen as an indicator of his respect for filmmakers, as he is not attempting to impose himself on them. Whatever the interpretation, it is clear that Carter Burwell is material to await filmmakers to find to him, as opposed to actively choosing tasks. This talks to his self-confidence in his job and also his regard for the filmmakers he deals with.