I will now use this line of reasoning to validate the euthanization of people.
The difference boils down to consciousness. A human is capable in most cases of knowing that it is suffering and that treatment, even if invasive is aimed to alleviating conditions that ail it. An animal, by contrast, in most cases is in pain and only knows that by keeping away from any perceivable source of harm is the way that it would be preserved, but this is not often the case. An animal will not willingly roll over to expose it's wounds. Veterinarians and vet technicians will force the animal into complying against it's will and put the animal into distress and will worsen the capability for improvement that any treatment can bring. This treatment, in the case of some animals, for example, Rabbits, will literally cause them to be so stressed that they die of cardiac arrest. Animals naturally assume that anything pertaining to increasing discomfort and pain while wounded is to do greater harm. Thus, unless the problem can with reasonable certainty be removed, or brought to a point of lower level of care (yes, some animals go through regular physical therapy), there are two options if treatment fails, which lead to the same result—do worse harm to the animal through insufficient treatment, and do worse harm by failing to address the problem—the entire time of which, the animal spends in pain and both lead to euthanasia.
well then you're okay with putting a pet down at the first sign of pain that costs more than the realm of reason.
You'd be surprised. My wife has worked at two vet hospital over the last two years. The first was a shady-ass place, and the latter, her current job, is much more ethical. Nearly daily, people will ask for convenience euthanasia, which ranges from "my cat started throwing up blood" to "my dog was hit by a car and had a few ribs and a leg broken" to "we're moving to a new place that doesn't allow cats and we can't take it with." There are lots of people out there who are absolutely stuffty human beings, but I wouldn't say that PhantOS, given his judgement is anywhere near those people.