If someone says you look the part, do you feel the part actually fits you?

I used to have a boss who often called me “professor.” I don’t have a PhD, so I always took that ironically. Like maybe I looked like a professor, but we all know I’m not. Occasionally, other people would say I looked like a professor. Maybe they treated me like one because of the way I looked. I don’t know whether they did or not, because I don’t know what it’s like to be a professor.

If someone says you look like you are, for example, wise (but it could be anything), do you think you actually fit the part, or do you think you only look the part? How did or would you feel about the compliment? Did you believe that the complimenter meant it?

If other people also say you look the part, too, does that confirmation of the look feel like confirmation of the assessment? For example, If several other people said you looked wise, did you think that you were wise?