Turin was more than a 'run of the mill' human. He was one of the most valiant humans ever. But you do have a point, the swords do definately seem to have some power of their own. I think Gandalf's 'Swords are no use here' comment was more to get the rest of the party to run. Was that comment in the book or just the movie?
In TTT Gandalf says something along the lines of 'Ever he clutched me, and ever I hewed (sp?) him...' That implies to me that he was stabbing him repeatedly with his sword, and thus, it has some use. And if Glamdring was useful, one would assume that Andruil (Narsil) would have been useful against the Balrog.
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