Let's turn this around a bit. Let us suppose Richard's attempt to unseat his father Henry II (with the help of his brother John Lackland and Philip II of France) fails. Richard is forced into exile, John goes with him.
Henry II remains on the throne, but he now has no heirs to that throne. I can see Henry attacking France, letting Philip II know this sort of thing won't be tolerated. Any nobles who supported Richard and John flee or die, their estates going to loyal supporters.