Continuity has been a wonderful feature that I use only from time to time, but when I use it it's been absolutely glorious in removing mental friction for menial tasks. Copying TOTP codes is one thing that just makes 2FA that much less of an annoyance.
It's infectious. So much so that I'm constantly annoyed that Music supports neither Continuity nor some form of remote control. It feels like the feature was released and then they suddenly stopped adding more apps to support it.