When I asked my father why he didn't go for Inspector (Detroit PD equivalent of Captain) he said "Because lieutenant is as high as you can get without being a politician". (Which, 30 years later, was my explanation for why I didn't make it past Sergeant First Class, but never mind.)
So my theory, FWIW, would be that "LEO management" is afraid of the optics of trying to maintain high standards of marksmanship and general combatives skill, from a "maintaining staffing levels" POV as well as PR/PC.
Also, the term "LEO Management" may be an issue in and of itself: Too much management, not enough leadership.