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It wouldn't have taken that long to simply bone it out and walk up the hill with the meat in a backpack. If it's a small deer, one person could do it easily. It took them 8 hours from the time the deer was shot- I bet one guy and a backpack could have it out of there in less than 2.
Boned and out in 2 hours....
All yoy need is a large spool of mule tape and a winch. Take the cable off the winch roll the spool down the hill and use the wimch drum like a windless. wrap one end around the spool twice and pull the end tight to bring the deer up. if the deer gets caught just loosen the end your holding and the spool will slip under the mule tape.