I will try to explain one last time. Car wont go beyond 116-117 engine temp, as there is a safety feature in the ECU that decreases boost and ignition timming when car goes to 115 celsius so as to protect the engine. ( you can see that when temp goes to 115 celsius either with stock or tuned car, boost level is decreased and is lower than before). So either with racechip or stock when we reach 115, safety feature is on to decrease high temps. I think that this is clear.
Now the real difference is in the duration of the overheat feature. I mean with the tuned car, from 8.00 second to 8.55 second in the video, car is almost 55 seconds all the time with the safety feature (from 8.00 to 8.55) and tries to decrease the temp, while the stock car, even in hotter day in june and two passengers inside, the same happens only for 25 seconds. This is the real difference and is very logic. If you increase the boost , you spray more fuel in the compustion champer, thus you increase temps of the engine. Tune boxes or ecy remaps, increase boost, so spray more fuel in the engine, thus make more power, but more fuel and power means increased temps.
That happens in real life too. If you take an iron box, and spray 100 ml of fuel and then set it on fire with sparkplugs, you will produce A number of temp. But if you spray 130 ml of fuel (increasing boost) then when we set fire with sparkplugs in the engine, temps wiil be A+.
Its as simple as that.