You're only refining your arguement to a much more correct statement which I would paraphrase as:
"As speed increases on a turbojet the power available increases and the power required increases. As long as power available exceeds power required in level flight the aircraft will accelerate. Once power required increases to equal power available the aircraft will not accelerate."
If this is what you're saying I agree with you entirely. We only differ on the use of the word 'maximum'. I'm saying that the power required on a clean aircraft at max level flight speed is not the maximum power required that can be achieved, I can increase it by popping the speedbrakes out and that will reduce the speed. I reckon that it is the minimum power required that can be achieved in that steady state. The lowest value achieved in a steady state gives the highest speed.