Yes, Henry 7 would never have been king if the noble, treacherous family of Stanley hadn’t intervened to save his onions at Bosworth. Richard would have made a very good king. He was already on his way. The Tudors were indeed a murderous bunch - although most of the various royal families were kind of nasty. But at least the Plantagenet family had good looks and charm!
AS far as I could tell, the Tudors kept trying to make themselves ‘more’ than just a king/Queen, but tried to make themselves popes and eventually Gods. The Plantagenet were on good terms with the other royal families of Europe and were questionably accepted by the other dynasties. They were the closest descendents of William the Conqueror and it’s telling that after Henry VIII treated his first wife horrifically, the more prominent dynasties didn’t have much to do with them in regards to marriage.