If the tail rotor goes (as happened in Leicester) you are stuffed. The truth is that people are so twitched up about engine failure they forget the rest of the machine.
Actually, not strictly accurate. The TR went to maximum pitch - I think maybe more than full power pedal input - so reducing the power to get down created an uncontrollable yaw. The final straw was landing on a small wall, with the gear up, which ruptured the belly and tanks.
https://www.gov.uk/government/news/a...7-october-2018