They'll move things around, but they usually don't "take" things. After all, they don't have pockets and move around from area to area. They might pick up and carry a small item of interest, but it is hard for me to believe that they would carry something for days, or for any distance.
The one thing they will take is something they consider to be food. They will often consume it on the spot, unless it is alive (small pet or small livestock). They don't tend to carry away large quantities of food, but they can eat all of the fruit off of a tree overnight, leaving the pits strewn about. They will take a bite out of a vine ripe tomato, then throw away the other half. Apparently tomatoes look good, but don't actually taste good to them. All according to my friends living on Table Rock Lake in Stone County, Missouri.
What puzzles me was that the entrails were nearby and undisturbed. Was the liver also in the bucket? If so, is it possible that liver was tainted by mixing with the contents of the digestive tract? Apparently they take care to separate the liver without rupturing the intestines in a fresh kill.
Some speculation: they don't usually have access to skinned animals, and seem to like the softer bits. It may be that it was as simple as a curious taste test of that softer area, exploring the taste and texture of the skinned animal. They've also been reported to collect deer legs, probably for their marrow, and that joint is where they would naturally separate the leg from the deer. Since the legs were tied, it may be that they couldn't conveniently wrench one free and may have considered chewing the leg at the joint to make it easier to separate. Perhaps it was interrupted.