What's the purpose of running Armory through Tor? Is it only useful once you get to the point where you start sending Bitcoins?
Armory (in online mode) uses a full node. Full nodes relay transactions for other programs on the Bitcoin network, so by running Armory on Tor, you help other people send their transactions with possibly-improved privacy.
Sending your own transactions through Tor with Armory can help prevent anyone from associating your IP address with your transaction, possibly improving your privacy.
Note: Tor and Armory must both be used properly to achieve improved privacy.