Given the opportunity, would you make your autopsy report ridiculously improbable?

In Douglas Adams’ The Long, Dark Teatime of the Soul, a private investigator is faced with a true locked-room mystery, involving a decapitation and precise placement of the victim’s head on a turntable. One of the policemen involved is perfectly willing to pass it off as an elaborate suicide just to be difficult.
So I got to wondering: would you make your passing similarly complicated to make sense of?