Nono. None of the gods exist in that sense. Give http://www.imperial-library.info/mwbooks/varietiesoffaith.shtml a read, you'll see that each culture ascribes a certain personality to a god. Like wise from the monomyth each culture ascribes a similair story to their gods. For example the events from the Aldudagga involve Lorkhan stealing from Alduin, creating the world and being punished for it, just as it happens in Heart of the world describes how Lorkhan is defeated by Alduin. Both however take a totally different angle to the story, obviously because they view the gods and their actions in different ways and put different amounts of importance on different aspects of the story.