Would you believe in justice of you believed in objective morality?
I hate to bring this down to a hypothetical but posters are answering questions that I didn't ask.
Either you want to live in a just world or you don't. Duty becomes a questionable concept if there is no free will. I think we have a duty to posterity, but erroneous ideas in this generation can lead to further problems in future generations. The gilded age led to a lot of issues today but this isn't about that.
If you believe in both objective morality and justice then answering yes or results is fine. I wouldn't want to be accused of trying to skew the poll results in one direction or the other.