>There is evidence that police with military backgrounds are more likely to be involved in shootings.
Ah, but that's not the claim being made. You've quite adroitly shown proof that former soldiers make shooty LEOs. I'm relating that soldiers suggest that if all cops were trained as soldiers were with respect to not firing their weapons until some situational conditions were met, shootings would fall.
I'd imagine that the sort of soldier who comes home and seeks out the experience of being a cop, immersed in "killology" [0] as they are (a philosophy that suggests firing your weapons), would indeed become the sort of cop to wind up being involved in a shooting.
...and I'm aware that "killology"'s founder and chief proselytizer is a former soldier. Note, however, that he does not advise cops that they must be strictly bound by any RoE before being willing to fire their weapons; he advises quite the opposite.
[0] https://www.washingtonpost.com/nation/2021/08/11/police-trai...