To bring this up from absolutly nowhere because it's very late, I found these words in HOME 4.
Quote:
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Yet Thingol would not take the hoard and long he bore with Húrin, but Húrun scorned him, and wandered forth in search of Morwen his wife, but it is not said that he found her ever upon the earth; and some have said that he cast himself as last into the western sea, and so ended the mightiest of the warriors of mortal Men.
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Thats says he was the greatest of all warriors. I'm not sure if that would qualify him for greatest period, but it does make a point.
However, Turin is prophicised by Mandos to stand next to Tulkas in the last battle and strike the blow of death against Morgoth. That might be just the revenge of the line of Húrin against Morgoth however. But Húrin could just as easily stand beside Tulkas.