FYI- When an animal dies it's muscles relax which often means urine, feces, and yes skunk spray is released... even if the death is quick/non-traumatic.
Rarely does a killed/dead skunk not stink of spray.
That said, I haven't had very many losses (knock on wood) from skunk, opposum, or raccoons but have had my fair share of chicken feeder raids by the pesky critters.
Went out one night to check on things before bed and there was a mamma raccoon and three kits she was teaching to destroy the chicken feeder just two feet below the slumbering chickens. I ninnied out by not setting the trap out right away, but she then got a young poult the next night.
Well, the momma bear in me went haywire since the turkey poults were being raised to feed my son (who can't eat grocery store poultry.)
I felt really bad setting the trap out, then dispatching them, but I knew it was just a matter of time before all my chickens and poults would disappear.