It's a an either or situation.
People love their pets like family members and would do the same thing if their kid was sick and needed medical attention. At times, animals that are trained to work do need the doctor for check ups, shots and care when they get sick or broken limbs.
It's a waste just to "Put down" an animal that that has a broken leg that needed to be put in a cast, or a pet that has allergies (Yes, animals can get allergies), or has a gastral intestinal disorder. At times, some cannot be helped and the best thing to do is to put it down when the animal will live the rest of it's life in pain. My friend's parents have a dog that's blind and Nose and hearing deaf. The Poodle literally LOOKS like a zombie. That dog needs to die.
The same thing could be said about humans who waste thousands of dollars instead of actually pulling the plug on a Severely ill patient that has no chance of living a normal life. Saying goodbye is hard, but it's inhumane and selfish just to let one suffer just because you want your Great Aunt to live on pain killers and on a machine.
No one takes the Bob Barker Treatment at heart.