Running & jumping deer is an old southern tradition. Not practiced as much anymore. It was a way to get the deer out of the thick swampy hard to hunt areas.
Yet,, many do eat the deer,, but these folks also understand that to be decent to eat,, most is ground into burger etc. The running, combined with the age of the older deer,, caused a toughness & often poor tasting meat, as compared to deer killed that are younger and especially when they haven't been run.
Many people did not like eating run deer, and as such, it created an attitude by these people that deer meat wasn't worth much.
But of the folks I knew who run deer with dogs did still eat them. But I also know a lot of the poorer cuts went to feed dogs & hogs & such.
Luckily, nowadays,, much of that type of hunting has gone away. And the meat is much more palatable too after a kill.