Our Bluetooth reciever adapter worked perfectly with my Pure Chronos Idock and the Denom HiFi, I was able to connect my Fire HD to the speakers via Bluetooth without any trouble and the sound quality was far better than through the Fire itself.
Hopefully this means the Dot will be able to connect without any issues too. The revelation for us both was the fact that we could actually connect our wired headphones to the adapter and use them as Bluetooth headphones. I know we have the wire to keep safe but I have a nice pair of over ear headphones I like that I would love to use with the Dot.
The Bluetooth receiver we ordered was mains powered so I've ordered a rechargeable one now to go with the headphones.