How to read "Click Only" mode data from AppleTV / tvOS Siri Remote?

I’m building an AppleTV / tvOS app and have managed to get support for the Siri remote working for swiping & clicking on the main touch pad and the main button presses. So far, so good.

However, when the AppleTV remote is configured in “Click Only” mode (Settings > Removes and Devices > Clickpad > Click Only), the clicks don’t appear to be coming through to Unity at all. I’ve tried Input manager (e.g. Input.GetKey(“joystick button 4”) etc) and Rewired (but this only seems to support the original remote, not the new one with the ring clicks).

Is anyone able to share how to read the “Click Only” clicks in Unity, or point me in the direction of some documentation that covers this?