Ooof.At least they checked out at the Pinnacle of their careers.
I heard that story at some recurrent and my takeaway wasn't "don't take a CRJ to 410", but, "what could have been done better to enhance safety and success?
1. Better climb planning - requesting a slow climb to altitude and closely monitor engine performance. Thorough briefing of same including benchmarks for continue/abort decisions.
2. Thorough briefing and practice of restart procedures.
3. Taking as little fuel as possible to maximize available power.
But then it seems like this wasn't a planned excursion to the limits, but a couple of kids given the keys to a jet.