Hawk 37,
Just checked my manuals to confirm this. GE CF6 80C engines with FADEC have N1 limit protection but no EGT limit protection. I think the reason for this is that N1 is the measure of thrust on GE engines. If the calculated N1 for your take off resulted in an overtemp and the EEC then trimmed back the power your take off performance would become invalid. You would may have no idea it had happened or by how much.
TC