the Fadec-equipped types I have flown (2 of) can most definately experience EGT overtemps on takeoff. The FADEC will not trim EGT whilst reducing EPR/Torque below the level calculated in TOLD.
Otherwise, your takeoff performance cannmot be guaranteed. Not exactly what you want when working at high isa conditions where takeoff performance is pretty tight.
Generally, up to V1, any red 'boxing' of the MGT/EGT would necessitate an abort on the types I have flown. Yellow boxing, depending on the exceedance and wear on the engine would determine a go/no go stiuation.