It really depends on the situation.
Let's say, for example, both you and my pet were in a serious car accident and I happened upon the scene first. Somebody hit you head-on, and you're both bleeding on the freeway. In that case, I'd probably save you.
However, if you're in a bloody mess on the road because you tried to kidnap my pet and lost control of your vehicle, I'd probably have a lot less sympathy.
There again, this is an improbably scenario. The chances of both you and my pet being in mortal peril at the same time within proximity of each other or pretty astronomical, especially since I have no prior interaction with you.