If you make serious allegation or claim and don't have serious evidence, no one is going to take you seriously
When #Noestimates advocates make conjectures that decisions can be made in the presence of uncertainty without estimating the impact of that decision, and have no evidence in the form of principles of probabilistic microeconomics of decision-making, they can not be taken seriously. Personal anecdotes from their own projects is not evidence
When we hear I know a CEO that uses this method and she's happy with the outcomes, has several core fallacies wrapped into one.
The first is the self-selection problem of statistics. This is the Standish problem. Send out a survey, tally the results from those that were returned. Don't publish how many surveys went out and how many came back. Or most critically, what the population of potential respondents was for the surveys and if the numbers of responses represent a proper statistical sample to assure high enough confidence on the returned surveys to draw any credible conclusions.
An anecdote is a sample of one from an unknown population