IMHO - You have more to worry about from getting a crab point puncture or bay water in a cut then from chicken.
Crabs prefer fresh bait - not rotten stuff like many think. The bait I use ( chicken or White Perch heads ) is kept iced until needed.
If the bait stinks to you - not likely big crabs will like it either.
Chicken is used because it is fairly cheap and gives off scent / oil for about an hour or so. Ever notice when you change baits - often you catch more crabs ? Freshness counts.
Other baits will work but are either expensive or do not hold up well. Menhaden are great but a big crab will tear it apart quickly. Salted EEl is good but has gotten pricey.
I often bring White Perch home and fillet them. I then use a heavy knife to cut off the head. Frozen in a gallon Zip Lock - they are great crab bait.
My buddy saves mangled Spot from live lining trips and does well. The Spot are soft though after thawing.
What could be more mundane than dying of old age or of natural causes when there is death by misadventure to be pursued ? Skip