We go to a big dog show every August in the New Forest at Brockenhurst, and the ponies wander round the campsite/car parks, rubbing themselves on the tents and caravans, and scavenging through people's belongings. They are quite tame but I would not go anywhere near their back ends, particularly mares with foals.
I was suprised to learn that the majority of them belong to people, and they are allowed to graze them in the forest. I always thought they were just wild ponies, but there are organisations that have shows and sales, and arrange the rounding up of them every year.