> People die all the time. Animals die all the time too. But this animal dying would have a huge negative impact on my life, whereas whether or not someone I've never met would not.

I also agree with you that human life doesn't have intrinsic value. Lots of humans are "good", but lots cause a lot of pain and harm to lots of other people and animals too.

So choosing a stranger of whom I know nothing over my own pet? Nope. Not doing that.