There are good, non-hypothetical reasons that publicly diagnosing living people without their consent is considered a bad thing to do. This came to a head with psychiatrists trying to diagnose Presidential candidate Barry Goldwater in the news media [1], but the general principle that it's uncouth or even unethical to publicly speculate about a person's mental health status has been more broadly adopted in many circles. Please consider the possibility that what you're seeing is not "faux-outrage", but people who genuinely disapprove of your overall line of argument.

[1] https://en.wikipedia.org/wiki/Goldwater_rule