Veterinary medicine technically deals with property, not really loved ones. Numbered dairy cow or muddy sow needing a c-section is an asset, not a loved family member. Pets are loved but they are property with negligible economic value, unlike a human life.
Where I live those are two different kinds of vets, with two distinct clienteles. While it's possible to find mixed practices (cattle + pets) in smaller towns, it's typically not the case in larger cities. There's no point in having your practice located downtown if you go to your clients anyway.
> Pets are loved but they are property with negligible economic value, unlike a human life.
You're missing the point, which is not about "economic value" (whatever you mean by that -- the amount someone would be willing to pay to save their own life? Their income?). The point is that no one who loves their pets dearly wants them to suffer, which puts the buyer in a worse bargaining position. I would (and have) paid many thousands to save a pet's life.