Therefore, after the call of "stable"... any lack of engine response to thrust lever advancement should then be cause for a "Stop
Why call "stable"? The pilots should see the power is stable by merely looking.
Reminds me of one experience where the airline 737 SOP was for the PNF to call "stable" when the captain had opened up to 40 percent N1 before pressing TOGA. The simulator instructor slipped a note to the PNF which said "do not call stable".
The captain opened up to 40 percent N1 with brakes released and the 737 started to roll. The F/O said nothing. Passing the 1000 ft touch down zone marker, the ground speed was 50 knots as the aircraft slowly accelerated down the runway under 40 percent N1. Still with hand on the throttles at 40 percent N1 and well into the roll the captain looked across to the F/O and said accusingly "you forgot to say "stable".
Of course by now the V1 speed was quite invalid.
Have observed same problem with the calls of V1 and VR. On countless occasions in the sim, if the PNF fails to call "rotate" the PF will not rotate even though his own ASI shows the aircraft passing through VR. Relying on a "support" call to commence an action such as described above, is asking for trouble