I know that AP Racing use stick on thermometers to measure individual caliper temperatures when testing new brakes, and on race cars during events. They are the multi colour types and have a greater temp range than you would require (amazing how hot you can let stuff get if you don't care about durability)
Would that be the sort of thing that a Flight Safety/Engineering dept. would be interested in putting on to see what was happening in the real world? Cost is minimal, in the order of a couple of £s each. Wouldn't have thought it would be a check every time thing, but would be usefull to get a "feel" for what did what to the temps. It could also act as a condition monitoring device, i.e. why is that one higher than that one? Could pick up a dragging brake that might not be felt.