"Some traps and snares are intended to restrain the animal until the trapper returns to the site to dispatch the animal. Euphemisms are employed to disguise the harsh reality of what occurs. Animals are often trapped so that their fur can be made into apparel. Bullet holes and bloodstains lessen the value of the pelt, so trappers often use methods other than a gun when they return to kill the trapped animal if it is still alive. After enduring pain, panic and exposure to the elements, the trapped animal will be killed by the trapper with a blow to the head using a club, by crushing the chest cavity, or by strangulation.
We are most likely to hear about pet dogs caught in traps. Deaths are not uncommon, and gruesome injuries are not unusual. The list extends beyond dogs to include our pet cats, and just about every wild mammal imaginable, but also birds, including eagles and geese, and any number of endangered species. It is a federal offense to kill an endangered species, but there is usually no consequence when trappers inadvertently kill endangered species with their non-discriminating traps.
Desperate to get free, animals often injure themselves further in their struggles. They break their teeth trying to bite at the trap and anchoring chain, and some will chew or wring off a limb. Although they may be free of the trap, blood loss, infection or inability to recover sufficiently from the injury are all further threats to survival. There are no accurate statistics to quantify how many animals die after freeing themselves or being released from a trap, in the event they are not the target animal."
https://www.livingwithwolves.org/traps-are-indiscriminate/