Saving someone from being eaten by bears might lead them to conceive the next Hitler, but it probably won't (saith my subjective prior). Even with an infinite future, I assign a substantial probability to hypotheses like:

1. Avoiding human extinction will result in a civilization with an expected positive impact.
2. Particular sorts of human global governance will enable coordination problems to be solved on very large scales.

And so forth. I won't be very confident about the relevant causal connections, but I have betting odds to offer on lots of possibilities, and those let me figure out general directions to go.