Yes does not actually matter that much for this thought experiment anyways!

If we want to get technical: For most crypto currencies you only need a private key to gain access to a wallet. You don’t need anything else, not even the address of that wallet! I just found the thought of someone going “I got the key to this btc wallet with one gazillion btc but I don’t have the wallet it belongs too! Welp, nothing I can do about it I guess!” funny. 😁