support for iOS Home button in ble_hid_controls.js module

That other device does seem to be sending a1 03 23 02 rather than just 23 02. Have you tried:

NRF.sendHIDReport([0xa1,0x03,0x23,0x02],­ function() {
    setTimeout(function(){
      NRF.sendHIDReport([0xa1,0x03,0,0], cb);
    },500);
  });

Not sure why you should need it, but hey...