After the session, you can look at yourself. Adding on that one more thing. At the end of the interview, the director may ask you if you have anything else you would like to say. This is your final chance to bring out a point that needs to be discussed on-camera. Don't worry about making mistakes on-camera.
Tape is cheap and video footage is easily erased.
You're in control. If you or your staff recognize a gaff, ask to re-do your taped response right then. If you continue, the gaff may be forgotten until it shows up in the edited master. You always have the right to review the recorded scene or interview. You also should be able to review a rough edit for your approval.