I've had several conversations with my vet about how his practice is so much smoother because he doesn't have to deal with an insurance industry (both from the sides of patients and a huge malpractice insurance cost) that essentially is just there to screw up everything. Few people attempt multimillion dollar lawsuits against vets because fluffy died from something that was unpreventable, but that's what happens daily in the US.
As a patient individually, health insurance is great. But as a system is so horridly broken that it slows stuff down.
Also, for anyone reading, getting into Vet school doesn't mean that you're not competitive enough for standard med school; quite the opposite. Getting into vet school is damn hard.