I know Keening will not stay put on weapon plaques, but does it stay put if you put it in one of Hjerim's display cases?

Dagger cases in Hjerim are bugged - you'll lose whatever daggers you put in there. You can drop them in the other larger cases but no guarantees that it won't fall through to the floor.

I don't really use Keening anyway. I just want it in there for appearances. Does it "look" like it's in the case, and can I close the case?