Tightcircuit, just making up a scenario here then to try and understand...
Say your aircraft was at it's temperature limit (Arizona, VERY hot summer day), max weight available, no reduced power take off. And then there was serious unknown engine wear that caused it to run too hot. Just guessing here, but a badly damaged flameholder or some other problem. Again, unknown.
So on take off, your Fadec would calculate and command an N1, and go happily on providing that N1, regardless of the EGT ITT T5 reading?
Just curious