Well, I guess I spoke too soon. I installed both switches and messed with them for about half an hour (until my wife got tired of me using her phone), with no luck getting them to pair.
I think I’m going to have to scrounge up a longer ethernet cord and give that a go once the Android app exists. These switches are about the same distance away as @admiraljonjon’s: probably eight feet, but through a wall. The previous one was in the same room as the hub.