Only 1 of 3 Ring device showing up on some signed in iOS devices

I have a Ring Doorbell Pro 2 with Chime, and 2 Floodlight Plus cameras, both bought in the last 3 months. On the first phone they were set up with (mine), all 3+1 devices show up, as they do on ring.com However, signed into the same account, with the same email address on 2 other phones in the house including my wife's, only the doorbell and chime appear. I've signed out, and back in again, changing the password in between to be sure, and still nothing. All 3 are Apple iPhones (8, X and 11 respectively). I have a Ring Protect subscription covering all 3 devices. Could it be possible that I have to climb out to the roof of my house and press the pair button on the two cameras to show them on the other 2 phones?! I'm guessing the next step is uninstall and reinstall on both other devices, but it seems pretty poor that that might be the answer.