@InsaneInsomniac mind you of course it depended upon era. Today, hunting for nobility in places like the UK involve running a bunch of dogs through the woods for "fox hunting" or through fields for "game hunting/bird hunting". My Dad was invited in 1990–1992 by a friend (member of the British aristocracy). He told me it was "unsportsmanlike" because it packed a challenge and was rather barbaric because not only did it take away chance & skill, but the way they chased down game bothered him (bird hunting was one thing, but foxes, etc., was a little too close to home).
As for the history, it depended upon the time & era. The forests of the King were vast and estates would have been large. Some would have wanted the challenge, particularly those who were used to war or shows of power. It likely depended upon the people, place, circumstances. Though, likely it was at least partly staged and boosted by private hunting for the feast, as part of that would have been show. The catch and release to be hunted would be common, though I expect it would have varied just as it does today, as people do this same thing. Largely, I expect it would depend upon whether it was a large wild nature preserve like the King's Forests or regular forests. If the former, it would be more likely to be a regular hunt due to increased supply (hence why "hunting in the King's Forests" was considered a crime, along with chopping down trees).
Women were often brought along to the campsite to "entertain" the men with music and dance (at differing times), though they'd typically be stuck back at camp. Though I imagine this varies by culture as some cultures had prominent women in combat roles. Europe had things one way while others had their own.
At worst case, we always have St. Joan. 😂 She'd be fun on a hunt! 😂😂😂