you would still have to recover it or you'll get the notification saying it has been recovered to another console. but im wondering if you can just wait for the first bar to go by when recovering and cancel the second one.
if you dont know what i mean, the first bar says recovering your account. the second bar says downloading your account.
Make sure its the most recent copy of the profile that goes online, extract the account, Send to another person, rehash+Resign to device ID (Leave profile ID alone) insert profile into other Xbox 360s HDD, both can go online, but not at once.