That would be excellent wherever it's feasible. The way Gladwell tells it (so take it with a grain of salt), when symphony orchestras started conducting their auditions with a screen in place so they couldn't see the person playing the instrument, the fraction of female musicians in top orchestras shot way up.

However, in cases where the quality of in-person interaction is a major part of what you're trying to assess — like for a team programming environment — it's going to be pretty hard to do anything comparable.