Wait, so his sword was taken away? Let me see if this is right.
Norrie loses his comission, and therefore his sword.
Somewhere along the lines of being a despot, he picks up another sword and that's what he uses in the 3-way wheel fight.
He returns he heart and gets his comission and his regular sword back.
Is that the sequence of events?
From what the writers have said, and in various comments made to other people in the form of private messages, Norrington resigned his comission, and left his sword behind...
And then yes, he commandeers another sword from someone, and then when he gives the heart to Beckett, he gets his sword back...and then prepares to stab Jones' heart.
I do think they cut a lot of scenes from DMC because it foreshadows what happens in the third film.
My favorite deleted Norrington moment is his line about "Better mad with the rest of the world than sane alone". I saw Jack Davenport say it in one of those behind-the-scene videos on youtube, and the delivery of that line was utterly swoon-worthy. Why oh why did they cut it out? *sobs*