One advantage I can see is that you'd have a video you could show to the rest of your team at their leisure, without everyone having to sit in on the phone call

One advantage I can see is that you'd have a video you could show to the rest of your team at their leisure, without everyone having to sit in on the phone call. Maybe you send the team a link to the list of applicants, where they can rate each one 1-5, and at the end of the day you have a consensus who you should talk to.