I've played on many courses that have freely grazing animals and I found them for the most part charming. However, I don't have to play them every day and deal with the droppings, ankle breaking ruts, roped off greens and weird sightings like a clearly dying horse at Yelverton, the many sheep walking around with broken or deformed legs at Southerndown, hitting an oblivious sheep with a drive at Westward Ho!, having to tee off from the rough because a cow or sheep had had a diarrhea attack on a tee box at Brora, etc.
I do remember playing Golfclub De Hoge Kleij in The Netherlands and seeing a shepherd and a border collie escort a group of sheep onto the course to graze on a particular part of the rough on one hole that had been roped off. [size=1.375rem][/size]