Seeing how the TK's, The Galactic Imperial Army & Navy Uniform's are based on what I think you are suggesting? I think it would be fitting, personally I don't balk at the association, the Stormtrooper Corps weren't exactly going around handing out candy, they were, well Stormtroopers. I could see how word association with "Korps" might possibly stir up feelings with some people, but honestly if you are suggesting the idea despicable and completely immoral, you may need run a reality check. I think Trooper Korps is excellent abbreviation.
But I can also follow the route that TK-421 (Starting with AA-000 ending in ZZ-999) meaning that there would be 675,324 unique ID's , if my math is correct. This is a quarter of the China's Standing Active Duty Army (According to Wikipedia) Now perhaps TK-421's ID was cut short. Maybe It is proceeded by a Legion ID, Lets say 501st TK-421, This could work as according to the Star Wars Essential Guide to Warfare, Page 125, Stormtrooper Legions (The largest Stromtrooper Units) have 8,192 troopers. But why would they have only 1/60th(ish) of the usable? I guess I could accept that they are using the same ID system as the Imperial Army use, where Army's (Third largest unit in the Imperial Army) have 393,216 personal, this would makes sense, possible having half in reserve for new troopers.
Also we both could be talking about completely useless, arbitrary facts, no one else could give less of a crap about ( I think it's super interesting none the less could personally go on and on about it, Obviously)