Radpops
It really just depends. If an animal in a particular environment does not adapt properly because of natural forces, then sure, extinction would have happened regardless if we intervened. However, in many cases with animals who are affected by deliberate human destruction, I think we owe it to the creature to ensure it doesn't completely die, as they are usually a vital part of their habitat.
Sigh, and this issue is very complex, as it involves economics, culture, and other human social constructs. And at the end of the day, many people may ask "so what?" if the Chinese panda dies or whatever dies, and I can see from their perspective. It really comes down to how valued that animal is to human society, as the ones with the power to prevent their extinction would see the benefits in preserving them (as I would guess, at least).
And this can apply to other living beings, not just animals.
It's a common practice of "pruning", from Alaska to Australia where they'll shoot koalas, wolves, etc if there becomes just too many of them per dense population or become a threat to livestock. So those are examples of animals when for a specific population becoming too ubiquitous in the minds of some.
But imagine if next year the news came out that there is now no more captivity free elephants or rhinos. Sure, like any news it wouldnt change anything. But it is tragic and it's preventable. Just start shooting in the direction of poachers and make it clear their antics aren't wanted.
Already people got p***y and allowed these corporations to literally clear cut and destroy large sections of the Amazon and other lush areas of the world. And in Tanzania, the government is making this massive freeway RIGHT through the Serengeti. Its like wtf, and open season on everything sacred.
I also dont want people thinking Im being racist by picking on poor Africans, as I know its non African corporations behind a lot of this evil going on