Yep, @acs is correct. None of the logic for the functionality is actually in the PC. Everything is in the app.
A couple of years ago, when most people were having an awful time trying to get the wifi setup completed, there were some discussions with development over how the setup could be done differently (in my opinion better), but ANova made the call that they didn't want a lot of firmware changes being sent to the PC from the app.
Pretty much the only thing they're writing to the PC's memory is your wifi credentials. I'm thinking the unique key for the cloud connection is also held in the app, not the PC. (obviously, it sends temperature and time parameters as well).
The introduction of the userid/password in the app was almost certainly to eventually address the capability to have Multi-cook (as you'll need to group the devices that have cloud connections - to securely control them).
One "benefit" to the bluetooth only devices (such as the Nano and original Bluetooth PC) when considering Multi-cook is that they don't have a cloud connection - the only authentication / secure channel setup is with your app. As such, you shouldn't even need a userid/password, just do the pairing for the multiple devices in your app.
Now, the current answer from the policy makers at ANova is that the BT PC won't be given this capability. Me, I suspect this is a political decision...not a technical one, but we'll see if more information is provided.