images on the Internet, I agree.
Sometimes, the moral of a time change story seems to be that people would reach the same end or destination even if by a different route. Thus, the Custer of the Domination timeline wisely avoids battle at Little Big Horn, is disgraced in the States, joins the Drakians and is killed by an arrow in Africa.
Historical outcomes can seem inevitable with the benefit of hindsight but can never be predicted in advance. Two straight lines leaving the same point at slightly different angles will eventually wind up in different galaxies. A different choice or chance event at a nexus point will change the direction and eventual outcomes of history, the most obvious example being if the Cuban Missile Crisis had become World War III. Thus, time travel in a mutable timeline would, after all, necessitate a Time Patrol.