I Lived on a ranch with a Cutting bred Stallion. That horse was the sweetest horse I have ever met. Always mined his Ps and Qs and always wanted to please. He would sometimes give me this look when I was in his field that said "Can you please step out of my field so I can act like an idiot?" As soon as I left he would go on a spazy rampage calling to the mares, but he always waited.
At one point he somehow got out with the mares foals and geldings (and a random mule and gelding also ended up in the same field. I still don't know whos horses they where and how all the horses ended up in one field) and the geldings where attacking him. His owner walked out there with a halter slipped it on and he went from stud to half asleep instantly. Cutting bred horses tend to me calmer than most (I own an arab but I don't trust arab stallions at all) I have noticed.