My Lightning address on WoS has never changed.
Alby (https://getalby.com) lets you choose a permanent lightning address (similar to e-mail address) — which Wallet of Satoshi generates for you randomly. Such wallet generated in Alby can be then imported into Blue Wallet and Zeus (as of now). It works and it’s a good promise of things to come on Lightning protocol.
Discussion
Yes, it doesn’t change, but the process of generating it in the first place is random (as I understand WoS combines 2 words and a number), unlike Alby where you can claim unused one, like when registering an email address.
Oh! The way Alby allows a person to claim their Lightning address would be super useful!