This does what it advertises, but . . .
So, the transmitter and receiver do indeed wirelessly connect my Xbox One to the chairs (or at least one of them). As sad as it is, Microsoft couldn't figure out how to Bluetooth to speakers for sound. The chairs are Bluetooth capable, but this product is not a Bluetooth transmitter (either) that could connect to the chairs directly. It is a separate 900Mhz transmitter and receiver that physically plug into the Xbox and chair respectively. These are RCA or headphone jacks. Of course, the game consoles don't have those as output for sound, either. Since we have two chairs, they then have to be physically wired together.
A better solution might be an optical (every game box has an optical out) cable input to a Bluetooth transmitter. That doesn't seem to exist, at this point. It would certainly make a cleaner install/connection. That would still leave the chairs connected to each other, but it would still be easier to figure out.