A long time ago I asked a question about dragon saddlery(Dragon Riding Question) and later on how to pilot flying animals(How to pilot flying animals?), but recently I saw a lot of art on the internet with characters riding flying animals and they do it by sitting on animals and I remembered that in Game of Thrones Daenerys rides Drogon in a different way, she lies on it instead of sitting. Noticing this, I had a question: What would be the best way to mount flying animals, sitting or lying down? Which of these two ways would be more efficient and why?
Take into account situations where the animal is with a saddle as well as situations where it is without. Like, if his rider doesn't have what it takes to buy or make a saddle or has unsaddled the animal, but lost it, doesn't have time to get it, was destroyed, is stored in a distant place, etc... Depending on the fantasy work, the creatures can have multiple wings or legs, but for this post we're going to set a limit on members: The creatures flying creatures only have a maximum of 6 limbs (like pegasi and griffins), there are no creatures with 8 or more and there are some with 4 limbs (like giant birds and pterosaurs).