In the HEXACO model of personality, which is somewhat similar to the Big Five Personality Factors, "H," the Honesty/Humility factor is considered descriptive and predictive of prosocial traits in general. Those who score low on this endorse unethical business practices and antisocial behaviors at a higher rate. Such things are always controversial, as how one answers a test question may be poorly related to one's actual behavior. This has been the problem with implicit bias research, for example. Everyone seems to agree that implicit bias must, simply must, have an effect on people's behavior. After all, there is prejudice in our society, and we can devise tests that look like they measure the amount of prejudice each of us against others. We might then hope to given them trainings and insights so that they consciousnly work against their own natural biases and become more fair. Unfortunately for the researchers, and all the people designing curricula to help become less biased, there doesn't seem to be a practical connection between implicit bias scores and prejudiced behavior, and giving people training doesn't seem to change anything.
So I am cautious about tests which propose to measure positive and negative qualities at all. As Jonathan Haidt's initial work on Moral Foundations revealed when his UPenn students turned out to have the "best" morality scores, some of test-taking can be influenced by what you believe the test designers or administrators want to see. I am also concerned that "Modesty," one of the traits supposedly being measured, seems to disappear from the discussion quickly.
With all that said as cautionary introduction, I think there is a personality trait that is real, important, and unmeasured which overlaps with some of the description: the ability to look at oneself with some objectivity. It has clear connections to humility, modesty, and honesty, or at least self-honesty. I do not think it is synonymous with all prosocial attitudes and behavior, however. I see it as a specific trait. It may relate to other positive cognitive traits such as intelligence, yet I can easily attest to there being many people with plenty of IQ points who have little of this quality. Yet intriguingly, the people I have known with the most of this humility and self-knowledge, have often been extremely smart as well. That may simply be a selection bias or confirmation bias on my part.