OrphanWilde comments on Should we admit it when a person/group is "better" than another person/group? - Less Wrong
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Persons, yes. Nobody is seriously bothered by the suggestion that Bill Gates is a better person than a serial child murderer. Groups...
Well, that's more dangerous territory. There are places where this is acceptable - declaring that football team X is better than football team Y is generally acceptable, and doesn't appear to cause any harm or real ill-will. (Unless we're talking non-US football/soccer, where the sport stands in for otherwise carefully concealed racism and nationalism.)
However, when you get into the carefully-avoided territory of gender or "race" the discussion gets convoluted, precisely because historically people have been absolutely terrible at making accurate judgements of the relative merits of groups. If it's fair to say that heuristics about race can be useful, it's far more fair to say that heuristics about beliefs can be useful, and all our heuristics on beliefs about non-trivial groups say - don't have them, and certainly don't say them out loud.
Which is to say, even if it's accurate to say that X group is more prone to criminal behavior, it's equally accurate to say people who say that a group is more prone to criminal behavior are more prone to engage in criminal behavior themselves. Decision theory conflicts on what you should do here (as this is more-or-less another formulation of Solomon's Problem or whatever that problem about cancer and chewing gum is called).
Of course, if you refuse to discuss race and crime, someone will point out that more blacks get arrested than whites and claim that this is due to police racism. More generally, once you start lying the truth is ever after your enemy.
For example, you may have heard that social science is in the midst of a replication crisis, well there is one area of social science where that isn't the case, namely IQ research and its correlates. Of course, for most social scientists openly stating that differences of race or gender are significant, or really anything that makes a black, woman, LGBT, or other member of a protected category look bad is career-killing. Hence social scientists are reduced to doing data dredges which unsurprisingly don't replicate. The current state of social science is like what astronomy would be like if astronomers weren't allowed to say anything that might imply the earth might not be flat.
Of course, history also says that people who spread false beliefs about equality are much much more prone to criminal behavior (or at least behavior that would be criminal if the people doing it weren't in charge of the state). This is a special case of the danger posed by people committed to readily falsifiable and false beliefs.