Pisser
Sounds like a rare broken tweeter. If you have 5 ohms across the tweeter terminals with crossover disconnected then the VC is OK, at least enough to move. Double check the easy stuff, like hookup wire connections in back of tweeter and in back of binding posts.
Last resort, do click test on the bare tweeter with a dry cell battery. A short click will not hurt it at all = 1/2Watt. You can use the speaker hookups and binding posts to make it easier. Reverse polarity, it should make two clicks on and off for each polarity. If not, it's an internal mechanical failure. Nola should replace it for free. You should ask about matching tweeters, either get 2 new matched tweeters, or mail in your other good tweeter to be matched with a new one.
Over the phone they will not want to believe that it is not a blown voice coil, as that is 99% of tweeter failures. Take a pic of your meter showing DCR 5ohms across the uninstalled tweeter.