I friggin hate that story. I worked in an animal shelter last fall. Unfortunately it wasn't no-kill. I saw that scenario happen many times. That's how I ended up with my cat. At 8 years old, the owners decided not to try and fix his tendency to pee in the house after they had a kid. After two weeks, he went on the euth list and I decided to ask my boss if I could take him home. Now he has a pretty good life, especially since he was 24 hours from getting put to sleep.
That is the one job I have ever been let go from, and I'm glad every day that I was. I don't know how people do it for a living.