Sounds like moralizing claptrap to be honest.
I have worked at multiple companies with the churn'n'burn mindset, and while some handle the stress better than others, the only thing that handling the stress will get you is more work and stress.
Are there people out there who are taking the world too personally? Yeah, definitely.
When I see people weeping in a bathroom, not once, but so many times I dont even notice it anymore - that's not a personal failing of will, the business is using up people like gristle in the mill.