Am having connection issues with A and Remote on iOS as reported in the desktop and remote thread.
I am trying to trace what might be causing the issue, and might have spotted an culprit: using Apple HomeKit with AppleTV set as a HomeKit Hub.
If anyone else has a similar set up AND is experiencing connectivity issues, try turning the HomeKit hub facility OFF on your AppleTV temporarily and please report back whether this has any impact?
As an alternative and/or additional experiment to this, if you force both the Mac and the iOS device running A+ Remote onto the 5GHz network and thus off the 2.4GHz one (which HomeKit uses), does the situation similarly improve?