Third, my clients are human, and like all humans, are bad at probability. If I tell a client they have a 60% chance of winning and we lose, the client will be mad at me. That by itself is reason to give qualitative estimates, not quantitative ones.

This is a huge meta-level problem with trying to be rational as a human being, surrounded by other human beings who are not rational.

Organisations with access to quantitative information have every incentive to hide it from you because the average human is a f**king idiot who will make a total pig's breakfast of the decision theory and probability theory, and then try to use the legal system to punish the giver-of-information.