I have the Gaming Remote (RC36) that I am not sure Roku it goes with - I have over 20 devices.
Anyway, I travel with a Roku 2 and the remote will never "pair". It controls the Roku, but not the TV sound or power. Not sure which device it came with but all others pair nicely. (Roku 2, 3, Ultras, Premier, TVs, and sticks).
Older gaming remotes only control certain tv brands by hdmi-cec, it doesn't have tv IR on board like newer voice remotes have.