Yes, I would love if my notes and highlights would synchronize between the browser (desktop) BLB web page, and the mobile app. This should be the next app feature to be released.
To be honest, I am a bit surprised this isn't already available. Until this feature is added, changing phones, or even uninstalling the app and reinstalling the app, removes any notes or highlights that was added on the app. Notes and highlights added on the website remain (provided one is signed in).
Thanks BLB staff, for making the best Bible app available.