I think people are confusing the SOFTWARE Token vs the SECURITY Token.

The Software token is used with smartphones, and is what they recently posted information on in the news section on how to obtain your emergency password.

The Security token is a physical one-time password generator that comes with the physical collector editions of FFXIV or can be purchased separately from SE. The Security token does not display the emergency password when you go into the Mog station. It only generates during the first time use. I have read somewhere in reddit that the serial number on the back can be used as the emergency password, but that is unconfirmed.

If you happen to get a response can you please share? I too lost my emergency password, it would be nice to know what to do in case it runs out of batteries or I lose it.