The idea might work given the right circumstances but I think your numbers are a bit off - there's no way a call center employee can 2 or even 1 video a minute. You have to take into account mistakes they make (multiple takes) and editing, unless you plan on doing that yourself (or just have raw video). Also, you probably should charge more than 25 cents - that is such an awkwardly low number that it my deter people from using it ("do I really want a $.25 charge on my credit card?"), not to mention you wouldn't make any money with all the fees.
All that said, teenagers love digital interactivity, especially when it relates to chats and webcams. There's also room for something like this in the advertising space - I'd be willing to pay $2-3 to have someone record a 30-60 second YouTube video promoting my product.