The thing is, I cannot find a case where the ability actually creates fun gameplay. Either it does nothing, or it's a massive GOTCHA out of left field. The other abilities create more dynamic gameplay which makes it a lot harder for town to reach the right conclusions, but this also makes it more rewarding to do so. Die Hard doesn't.
Whether or not it creates "fun gameplay" is strictly a matter of opinion. YOU found yourself in a situation where the use of the ability, for CL, added a lot of value (to CL). That was strictly because Tevish got lynched. You said it yourself a bit ago about how in Dethy there is typically one lynch that matters. Well guess what? That lynch on Tevish mattered, and despite your perspective Tevish still got lynched which created the scenario that benefited CL.
That's hardly the fault of the ability or Zinger's design.
As I already outlined, had Tevish not been lynched (which seems like something you should have strived for, but hey mistakes happen -- own up to it), then it would have created a different situation where if CL had used that ability he'd STILL have to play like a jester to make use of it. The only problem there is that you'd have a life to spare because Tevish would've still been alive at that point. So even if Die Hard had caused a mislynch (on Tevish), and CL killed, say, you, then that'd still leave Monster and JD alive to swing the vote at CL.
As far as I am concerned, that's fun and dynamic gameplay.