Ah, okay. That makes sense.
Another question: do all the wallets in a single Armory installation use the same private keys for signing transactions, or does each wallet have its own?
Neither. Private keys are not associated with wallets, but with addresses. Again, wallets have nothing to do with how Bitcoin works and are completely unrelated. All that matters are the transaction outputs and thus the addresses. Each address must have its own private key as each address is derived from the public key which is derived from a single private key.