Earlier quoted context omitted.
I think we can all agree that police departments are allowed to reject applicants based on IQ. Cognitive tests are common from what googling I've done, although only about 10 states have IQ tests specifically. It's also hard to prove that candidates get rejected based on their IQ, it's not like this would be a department policy. Whether they exercise their right to do so, or how many exercise that right, there is no…
I'm not sure how interesting you can make an axiomatic derivation of the claim that police departments widely have upper-end IQ cutoffs (or, more likely given that virtually no police departments administer actual IQ tests, high-end cutoffs on their existing domain-specific written tests). The fact is that there are a very small number of cases where tiny departments decades ago (a) administered IQ tests for recruits…
If you can't prove the former, you can't prove that either. It is speculation, but not unfounded speculation. a small number of cases were taken to court, and since those cases were found in favor of police departments, no further cases we taken to court. Police departments don't record shady practices like this either.
There is no definitive public data on which departments administer IQ tests, your supposition that it is a small number is unfounded. Nearly all administer cognitive tests, psychological and/or psychometric tests under various names are almost always administered, and from what I was able to look up on the subject, they usually contain IQ tests. In a corporate setting, I've taken a pre-hire psychometric test myself, it was in every way the same as an IQ test but they didn't use that term.
We are left with no choice but to speculate, the historical cases you mentioned laid the ground work. reason dictates that ground work is followed by others. as i mentioned, if inference is all that is left, we're left with public documentations of police conduct and hear-say, and all of that supports the original claim that this is a widespread practice.