I have to say that I love having a stroller in the airport, and I can't imagine getting through to our gate without one! Granted my kids are only 4 and 2. We have decided to bring 2 umbrella strollers this time, instead of the double. I do say that a double is much more of a pain, but really only at security, because of how you have to fold it down, and hope it fits through the X-ray machine!
Using a stroller means we don't have to chase our kids down, and you can put your carry on bags in the basket, or have your kids hold things in their lap. Plus, we have often been able to bypass many people in the security line, because the guards notice our stroller, and send us to a special line. And you can use the stroller right up to the very moment you board the plane! They take it from you at the bottom of the ramp, and you get it back when you step off.