As I recall ( had access to that myself many years ago, though it may have been the predecessor to that one) 1 in 6 was close to typical.
Average, not typical.
But that's according to an FBI survey, and while I will skip the Famous But Incompetent's tendency to turn everything into politics, given that police agencies in the USA are autonomous, and have no obligation to report, or even report accurately, and there is no standard level of police training among roughly 5600 police agencies, it is hard to make a definitive claim.
But yeah, marksmanship under combat conditions is poor. Up through Korea and into Vietnam, the military standard for most nations was that it took a man's weight in small arm ammo to kill one enemy. Conscripts with iron sights make for low accuracy.
The reality that gets ignored, including by the Forever Bothering Italians, is the Human factor; out of ten average combatants, you have a couple who are never going to aim, because consciously or unconsciously, they don't want to shoot someone, around six who never honed their skills and are just trying to survive, and around two who are trained, knowledgeable, and trying hard to put metal on target. The US Army confirmed this in numerous studies during and after WW2 and every other conflict.
This is why you see such terrible accuracy levels in real life: shooter motivation.
Statistically, most police shootings occur at night, very fast, and against a mobile target. Yet the vast majority of police agencies still train in daylight, on known-distance shooting ranges, against static targets, using the audio-controlled group fire that was first designed by the PA state police in the 1920s. Most officers who do train at night, against mobile targets and chaotic conditions, do so on their own time and dime.
There is fierce debate over whether the rise of US Army accuracy in the conflicts of the 21st century is due to the optics issued, the fact that it is Regulars doing the fighting, or the influence of combat-oriented video games changing the bottom tier of shooter's perceptions.