I've been told it works exactly as with cows.
Unsure how long it takes for the cows to be stored after they've been killed at a regular slaughterhouse, but I guess it takes no shorter than an hour or two.
Take it as an example, I guess.https://www.britannica.com/technology/meat-processing/Livestock-slaughter-procedures
This being said, if I were to consume a body, I'd make it so the parts I want to try are stored freshly after a kill! no longer after 1hr.