Long time ago now of course, but I don't recall the word " firewall " being an option, if take-off with reduced thrust i.e. Graduated Power was being applied, and more power needed, I recall the command " Go Around Power " being the appropriate call ? G .A. Power being a calculated figure, not just a B***s Out reaction. ( but then we had a Flt. Eng. !! )
On Rolls RB211 engines you can push the throttles (or thrust levers or whatever they are called in these enlightened times) to the stop and the engine will not exceed limitations as long as the EEC, ELC, TMC, and whatever other boxes are working.
And, even with the older motors, if you're about to crash, I think an exceedance would be a secondary consideration. Air Florida 90 at DCA may have had a better outcome if they had pushed the throttles all the way up when they realized that the takeoff performance was less than normal.