Considering how widespread this method of meeting people actually is right across the globe, it seems a little odd that it isn't represented in television dramas more often.
That said, there may well be a good reason for this. It could be because the act of connecting online while sitting in front of a computer screen is inherently undramatic. There's just not enough "colour and movement" to hold the viewer's attention. That's why the scripts have people communicating face to face instead.