Last year we just had the Fire TV, signed in to my wifes account.
Got a smart TV hence stopped using fire tv.
Have now got Amazon Echo (living room) and Amazon dot (bedroom), both signed into my account.
Just put up old TV in bedroom and also the Fire TV to use with it.
Before I did this, if in the living room I said "Alexa, play absolute radio" , Absolute Radio would play on the Echo.
Since I've started using the Fire TV again, whenever I say to the Echo "Alexa play absolute radio", she responds with "getting Absolute radio from Fire TV" and plays nothing. I've since discovered this is also waking up the Fire TV and also turning on the bedroom TV.