To reproduce:

1) Download and open project
2) Run scene Level with device with Unity remote connected
3) Try pressing one of the boxes in the corners and notice that they turn blue and a message is written in console
4) Make so that game view is not visible (if you have default layout, then just open scene view)
5) Try pressing one of the boxes again, notice that it doesn't turn blue, but a message is still written in the console

Reproduced on 5.1.3p1 and 5.2.0f2 using iPad mini 3 (8.4.1)

RESOLUTION:

Unfortunately the design of Unity Editor and Unity Remote does not allow us to fix the bug. The game does not run in the editor whenever the game view is not visible. Since the remote only acts as a dumb display to which graphic images are sent from the editor via the cable, it's not possible to refresh the game view whenever it's not refreshed in the editor.