The way I read this is that he simply encourages you to talk and share your thought process while solving the problem. If you are stuck, you will have to take hints anyway, but until then taking aloud helps the interviewer and might as well help you by forcing you to articulate your thoughts in a structured manner.
When interviewing people (non-technical roles, but roles heavy on problem solving) I always encourage them to share their thought process. Plenty people who I hired not because of the right solution, but because they convinced me that they can think creatively and in a structured manner (i.e., clarifying the problem statement, identifying things that are the most critical, ...)
When interviewing people (non-technical roles, but roles heavy on problem solving) I always encourage them to share their thought process. Plenty people who I hired not because of the right solution, but because they convinced me that they can think creatively and in a structured manner (i.e., clarifying the problem statement, identifying things that are the most critical, ...)