Yes, but I know what you mean because my sister recently had a similar problem. Indeed, the fact that you are fundamentally skeptical probably didn't help as I now know that a lot goes on before such a meeting (mental preparation and acceptance).
I don't know if this will help you for future meetings of this type, but a good practice is to prepare a list of all your strengths. In fact, it helps you remember all your qualities and makes you feel better. That way, whatever type of meeting you have next, you'll go into it with a very different frame of mind. It may sound silly, but it works. Definitely worth a try.
Thanks for the tip!