A video resume should highlight your intangible attributes and leave an impact. It can communicate the things you can't place on a resume, such as warmth, straightforward conversation, charm, humor, and off-the-cuff chit-chat.
As simplistic as it can seem, seeing your face and hearing your voice can help the person identify with you better than reading your three-page, Arial, size 12 font summary of your career. There are a lot of unspoken clues you can draw from the way someone talks, acts, dresses, and uses vocabulary that can suggest that they'd be a good cultural match.