KORE, my friends!
My research indicates that if we had a Sony TV 2016 or newer, we'd be fine.
That explains an app you can add to your phone which seems to act like a real remote.
One problem with the Web Control interface (HAX, Chorus and those) is they don't repeat the button if you hold it.
Kore works just like a "real" remote, in that if you "hold down" the button on your phone's screen it "repeats" that button. Having to click again and again to scroll through every single Movie in my Library was a pain.
Kore seems great so far.