SUMMARY: Different dogs, different rawhide personalities. (This was one of several scenarios that I had envisioned as part of my Christmas letter. But I pared a lot out of it, so you-all get it on my blog, instead.)
In the Olden Days, when we had Sheba and Amber (who were just normal sort of pet dogs, although special in their own ways), we gave them giant rawhides for Christmas every year. They'd pull the wrapping paper off and lie there chewing on them for a while and eventually get tired of them and then chew on them off and on for maybe weeks.
Remington was completely spooked by giant rawhide. (He was a sensitive soul.) He just wouldn't go within a foot or two of one, although he'd chew small rawhides with pleasure. After two or three attempts in different years, we just gave up.
It occurred to me that I hadn't tried giant rawhide bones with any of my current dogs for Christmas, I don't think. So I bought three large rawhides, wrapped them loosely with just one piece of tape holding the paper, and handed them out.
Tika immediately trotted to the den, gently tore off enough paper, one small bit at a time, to get at one of the big knobby ends, and proceeded to gnaw. Normal. Except for the wrapping paper remaining on half the bone, for hours.
Jake, typically, carried his slowly around or just stood in one place, looking concerned and occasionally shooting me admonitory glances for saddling him with such a huge responsibility. Eventually he retired to his bed and let it rest beside him for a while, while he monitored the environment for encroaching canids. When none approached him, he appeared disappointed at not having a chance to warn them off, so after a while he tore the wrapping off half the bone and went back to carrying it around past the other dogs, looking concerned.
Boost took it gingerly, watched the other dogs for a couple of minutes, then took it to her bed, where she examined it closely for a while. Then she determined that the best course of action was to bury it where no one else could find it while she decided the ideal plan of attack. A couple of hours later, Jake found the cleverly hidden package and walked around with THAT one for a while, looking concerned. Eventually, it disappeared again, and I assumed that Boost had buried it again. Apparently she had, but in some odd corner of the living room, because the next day Jake found it again (still wrapped) and carried it around for a while before Boost finally took over once more and removed the wrapping paper to give it some chewing.