I don't because in my reading about rigor and slaughter of various meat animals, I'm trying to avoid "cold shortening".
From Britannica (not wikipedia, but it says the same):
“Cold shortening is the result of the rapid chilling of carcasses immediately after slaughter, before the glycogen in the muscle has been converted to lactic acid. With glycogen still present as an energy source, the cold temperature induces an irreversible contraction of the muscle (i.e., the actin and myosin filaments shorten). Cold shortening causes meat to be as much as five times tougher than normal.”
Now, most CX birds are pretty hard to screw up in tenderness, but we noticed a difference in the last batch of birds that I cooled slowly, mainly in the way they were extremely juicy and tender regardless of cooling method.
Of course, one method of meat tenderizing I won't use is electricity, though it's well studied. I don't mesh well with electricity.