If you haven't seen this video, it's an E-2 Hawkeye mostly landing on an aircraft carrier. I say mostly because they touch down, catch a cable, then the cable breaks, and they roll off the end of the flight deck somewhat below flying speed. The pilot already has the throttles at max power, keeps the nose down, and scrapes together enough energy to fly in ground effect over the water for long enough to build airspeed and climb. Good outcome for the flight crew. Eight crew members on deck were injured by the snapped cable, though none of the injuries seem likely to be life threatening.
Is this applicable to your flying? Yes! Yes, it is! If you operate under high density altitude conditions, you will at some point find yourself with less airspeed than you need to climb. If you keep the nose down like this intrepid naval aviator, you might have time to build up energy and climb out. Airspeed control is actually more important the terrain avoidance. Better to fly a plane into the ground under control than to avoid the ground but run out of airspeed at 40 feet.
Aviation Week did a very thorough survey on the causes of accidents that occur during flight training. Flight training is relatively safe compared with Part 91 general aviation broadly, but it's not without accidents. I won't steal AW's thunder, but loss of control in flight was the biggest killer by far in single-engine training accidents, and most of those are during formal upset prevention and recovery training (UPRT) flights. You should read their analysis, but my quick thought is that training accidents have always been mostly simulated emergencies that became real emergencies. You can't simulate unusual attitudes. We're really going to the abnormal flight attitude. It's hardly a surprise that this is the most likely thing to go awry.
We don't often use these exact terms, but the struggle for CFIs to make our students "masters of the magenta" rather than "children of the magenta," is maybe the most talked about issue in flight instructing today. The G1000 and ForeFlight are super powerful tools that make flying easier and safer, but it's really, really hard to teach students to use these tools without teaching reliance on them.