Welcome, @roach !
So to keep things in sync, it’s best as if you approach the Bond Bridge as a replacement of your original remote, not a supplement.
The Bond staff have explained that the Bridge cannot send commands while listening, and that most OEM remotes are too weak to be reliably “heard” across a whole home / multiple rooms – all that to say that the Bond Bridge doesn’t “listen” for remote commands other than when adding a device to the Bridge.
There are some solutions you can pursue if, like me, you value physical controls instead of solely apps and voice assistants – but they rely on integrating Bond with their official Local API into a smart home control system, and/or using a Bond Bridge Pro with Bond’s Sidekick remotes.
I, for instance, use ISY controllers and a mix of Insteon / Harmony / Hue emulator / Bond Sidekicks to make physical controls for fans and light kits, as well as other devices Bond controls.
You can use a variety of controllers ( Home Assistant, etc ) to make these kinds of cross devices integrations possible.