hihover
I'm not sure exactly what you both feel should be included in a training syllabus that would have prevented this excursion from the flight envelope.
That's easy; Require the student to bring the A/C to a stationary position relative to a reference on the ground at least 1,000' AGL.
Do it with the wind from the four azimuths, nose, tail and each side.
Do it at varying wind speeds, but especially in zero wind speed and at the maximum allowed for the A/C in a xwind as per the POH.
re your Q. I think you should check Nick's post #45, Para 6 and 7.
Yes the T/R must run oput of puff eventually as the RPM spools down but really is that an issue when you are rapidly approaching rotor blade stall. Getting the M/R A of A to respectable form might be the first priority.
You say in your experience you crashed, run out of M/R lift did it? Perhpas you could bolt both a R44 and a Gazelle to a turntable, run them at a desired RPM and see what happens to the T/R effect. Possibly it would be a good idea to take a few airsickness tablets first, or a good shot of Rum.