In the anonymity of the internet, I dare to say that I'm a former horsey piece seller who left because I couldn't stand it anymore. You are right, no piece ever moved over another. It's a myth perpetuated by the kind of person I was. But I can't do it anymore. It a lie, it always was. Don't believe anything of it.
Don't be silly, basically you can get off the horsey and go around the obstacle, but the this doesn't work for eg a pawn cause what are you going to do, split in two?