Authenticator allows you to back up your passcodes to to your google account. I actually prefer DUO’s way of backing up 2FA codes by protecting them with a different password. I don’t like google’s approach as it basically means that if your google account is compromised then the attackers have the keys to the castle.
I’m a fellow collector and I also emulate a lot but even still I collect. For a few reasons.
I will always have the original copy in case I need to make a backup and archive.org is shut down and the cloud providers delete my backups for copyright reasons.
I can display and rotate the games I choose to display. Even if no one besides me see the games I choose to display, they are important to me and I’m glad I can enjoy them.
I can recreate formative gaming moments from my childhood and share them with my children accurate to the way I experienced them
That being said, emulation does bring many conveniences and so I do emulate most of my collection on my phone but I still maintain a physical collection and I do break out the old consoles from time to time