I only have cats, so perhaps my opinion is a little bias, but I would definitely save you. Pretty much the ONLY people who I think even have the slightest bit of a point in saving their pet are those who own an extremely loyal, best friend kind of dog. People get attached to pets, just like they're family, but only dogs truly get attached back. Since I don't own such a dog, I would easily kill every single animal I have ever come across myself to save you (if that situation somehow arose). That's saying something, as I usually don't even kill bugs.
Any human being is an integral part of many lives. Family, friends, significant others. Letting any person die, for almost any reason, is unforgiving. This is especially true if you know nothing about the individual. This person could be a serial rapist, pedophile, murderer, cannibalistic dictator, but if you don't know, you have the moral obligation to save him. Would you save your pet over your own family? Now ask yourself, would you feel horrible if someone close to you in your family died due to the uncaring of another? Would you relate the incident to murder? What if you found out that your family member died because the other person "had" to save their hamster?
The fact people are willing to neglect another human out of such sheer selfishness shows how little we've come since civilization. It looks like we are the animals. Now who will save us?