Interesting note about LEOs. Come to think of it, most LEOs that I know own NFA guns, whether autos or shorties. They also pay the company rate for brand-new guns (not pre-1986 ones).
I'm curious what happens when the LEO passes away and his estate is left with an auto manufactured since '86. Speaking from experience, I can say that is a Very Thorny Problem. Are they required to turn them in when they retire?
My guess is that the NFA is a joke.
It may be issued to them by their department, and they may be able to keep it at home, but title for the weapon would be held by the Dept.