Definitely it would seem to mean he was the mightiest of all men and he has the accomplishments that attest to that. When we consider he is called mightier than Beren, Turin and Tuor then no doubt he was far mightier than the Dunadan especially in the third Age. Aragorn can not hope to hold a candle to the likes of Glorfindel, but Turin, Beren etc were mightier than most elf lords.
It's also mentioned somewhere that at the moment where he defied Morgoth, his spirit was mightier than any man had ever reached.
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