I can now use my native Apple Remote on iOS devices (iPad, iPhone) to control my cable provider’s set of settings.

Click on the device name (I can choose between Apple TV and my set)
The remote appearance for non-Apple TVs is different from Apple TV.

I worked up to the iPhone volume controls that control the volume of my stereo

The following were used to operate:
– Homebridge
– Household plugin
– Online account from the supplier
– Mqtt
– Lots of tests