Yes, it is similar but one difference is that the Norse oral histories were written down only 250 years after the events plus that there are a couple of referen

Yes, it is similar but one difference is that the Norse oral histories were written down only 250 years after the events plus that there are a couple of references to later expeditions in the Icelandic chronicle, including a logging expedition to the Americas blown off course. So the Norse contact had really strong support even before the archeological evidence.