None of the following are "cold wallets":

-snip-

At worst, a cold wallet is a wallet that is not and never has been accessible from the internet.

At best, a cold wallet was generated with a source of randomness that is guaranteed to have at least 160 bits of entropy, and the private keys and addresses are calculated on an operating system that itself has never been connected to the internet, and no address that has value associated with it has ever received an output that has been spent.