As long as you have the throttle pressed - over half way, the engine will accelerate up to redline. There is NO safety mechanism other than the fuel cutoff at redline - the rev limiter. Under "normal" acceleration - usually less than 50% throttle, the engine will "remember" your driving pattern including throttle lift offs to encourage a shift up, or will use its own shift up program at say 3-5500 RPM. But once beyond 50% throttle when "accelerating rapidly" as you state, you can count on redline shifts unless or until YOU lift off...
And if "floored" you can ALWAYS count on redline shifts - yatta hey, what do you really want when you floor it?
And if "floored" you can ALWAYS count on redline shifts - yatta hey, what do you really want when you floor it?