Ah I see. I never had to worry about that as my amp has bluetooth capabilities. From the two you mentioned, going off the website the Saturn Pro seems more versatile being able to act as both transmitter and receiver. Pretty decent option if you ever need a receiver or want to pair two of them together to act as both. Also has the AVCRP profile and AAC codec which Priva doesn't. Better battery life too. The Priva has the option of connecting 2 headphones to it at the same time. Handy if you have a mate or family member frequently around watching with you. User replaceable battery I think. Both will play CD quality audio. The Hi Fi is just there for marketing. Just by going off that and assuming the performance is similar, it really comes down to whether you prefer the option of adding a second pair of headphones or the option of using it as a receiver. I'd personally go the Saturn Pro as that gives the option of using it as a receiver if I want to say play songs from my phone through external speakers without connecting the phone (if I'm understanding it correctly). The option of connecting a second pair of headphones requires you to purchase another pair of bluetooth headphones (or get a mate to being theirs)! Though if you already have a good receiver then the Priva is the way to go.
Thanks noob2, that was really handy to read your take on it as I know even less about Bluetooth transmitters. I agree the Saturn Pro does seem more versatile. I don't actually own a stereo speaker anymore that I could use the receiver end in (I replaced it with a Bluetooth soundbar a little while back) so that receiver option is not so critical. I also don't own any receiver at the moment. That's good to know re CD / HiFi quality - that confused me. I was leaning towards the Priva for simplicity sake, and also the dual headphone and you can run it powered (plugged in). I read somewhere in quiet bits of movies or when paused the Saturn Pro can turn off sometimes and you have to reconnect etc. Having said that if they are much of a muchness, the versatility of the Saturn Pro might be better. Something for me to think about. Cheers mate.