You are 100% right, Stan. At an obstacle clinic last weekend, there was a lady who led her horse through the obstacles on the ground, as he was shying and balking at them. She was warned by the trainers at the obstacle that she should be careful (e.g., step away from directly in front of the horse) as he might run her over. She said that he wouldn't, he was too well trained for that. Well, he didn't knock her down but he did run into her when he rushed through.
The young lady at the roadside also has no control of the horse's rear from her position. In her current position, if she were to try to get control of the horse, and pull its head to her, its rear end would be on the roadway, something very dangerous to all, and something that the driver would be hard pressed not to run into.
I don't think most people respect the power of a half-ton animal. Human flesh is not going to win over horseflesh.