FE Hoppy
"Power against brakes will always give better perf than rolling. With rolling you are using TODA before you have take off thrust."
Not necessarily.
Take the extreme case of a high speed taxiway entry onto a runway. If this is the only entry to the t/o runway and you are doing 40 - 50 knots before you hit the centre line, in a nice gradual turn, are you going to stop the aircraft again, apply power etc., then release the brakes?
My argument is this. If the aircraft is moving then keep it moving and introduce the power for t/o, provided you have been cleared for take off of course.