I agree that mathematical thinking and communication has a special and interesting character. Communicating in a mathlike way is a skill, to be sure. But if meticulously careful communication was superior in a wide range of scenarios, I would have at least a weak reason to expect more people to use it, at least when talking to other math people. But it's not clear to me that math people talk in mathlike ways to math people anymore than sociologists talk in sociologist-like ways to sociologists.

For success in writing, I imagine it's more important to think in a writer-like way. For success in business, I imagine it's again not mathlike thinking that is necessarily most crucial...