I don't even need video. Worked closely with a guy for a couple years, only when I left the company and added him on linkedin did I learn he was black. There really wasn't a need for me to know much about him to get our work done.
No. But you probably do if you go out to dinner or some event with them. Over the years,I found that I could have most of my contact by phone but it really helped to have spent some some with someone in person.