If you have hunting dogs, do you pretty much have to have a fenced yard?

For people who opt to get hunting dogs, do they pretty much require a fenced yard if you want to let them out unleashed and mostly unattended? Do they have prey drive tunnel vision compulsion too severely to typically ever just chill out and relax and hang close by?

Does this go for most hunting breeds, or primarily only dogs that you actually use and train to hunt actively (obviously most americans who have hound breeds or gun breeds aren't actively teaching their dogs hunting skills and going hunting in the 21st century. Curious if it hinges on that)

I am thinking a chain link fence since they're cheaper than wood and vinyl, tall, last a long time, can bury some of the metal mesh so the dogs cant dig/burrow under

Thanks