I find it disturbing that there is no clear answer to this question, given the complexities of the system, I wouldn't want to make any assumptions of how it works.
The bottom line is, unless the key was produced on a machine entirely disconnected from the Internet, it is not a true cold storage.
I want to know, is it possible to run the client and create a wallet, without connecting to the network. Is that how one would create a cold storage? Run offline, and try to export private key and/or export to JSON. Then transfer by sending to the unregistered account?
I know Bytemaster is very proud of the TITAN feature, but for true privacy, people want cold storage, and never expose info on any live (potentially compromised) machine whatsoever.