Jonty, I had a similar experience to you for the best part of 15 years. Then it happened. Where I least expected it. Smaller airports with short runways actually give us better control over managing hot brakes. Ludicrous airport layouts like Barcelona where you can be parked on the far side of the airport only to then have to taxi around the entire perimeter of the airport before you can depart (runway crossings not allowed) are the real culprit. 10 brake applications from 30-10 Kts (our company doesn't allow single engine taxi out) on a 30 degree day without brake fans will give you hot brakes at line up.