You don't understand VMinI, do you?
Perhaps not, but I do understand common sense. I appreciate you need a minimum airspeed for the AP to work at it's best. I also understand you need enough forward airspeed to safety climb away so you minimise the power required and maximise your stored energy in event of loss of power and a run on / auto rotation being required or to climb away on one.
However that would be a suitable profile when you can see where you are going. Not much point in trying for 50 kts before climbing if you have obstacles you can not see though is it?
So although we may all agree this flight should should not have happened, had the pilot simply climbed on AP and left the stick alone until two hundred feet or so then looked for 50 kts (or vmini) the outcome may have been very different.
Just my opinion.